Vectors and Polar Coordinates

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Find all of the polar coordinates of point P if 649-11-07-00-00_files/i0070000.jpg. a. 649-11-07-00-00_files/i0070001.jpg or 649-11-07-00-00_files/i0070002.jpg c. 649-11-07-00-00_files/i0070003.jpg or 649-11-07-00-00_files/i0070004.jpg b. 649-11-07-00-00_files/i0070005.jpg or 649-11-07-00-00_files/i0070006.jpg d. 649-11-07-00-00_files/i0070007.jpg or 649-11-07-00-00_files/i0070008.jpg Please select the best answer from the choices provided

NOT A

Triangle ABC is shown below. mc010-1.jpg Which point is the coordinate of the image of A under the transformation mc010-2.jpg?

(-4, 2)

Determine the projection of 1104-11-03-00-00_v2_files/i0030000.jpg onto 1104-11-03-00-00_v2_files/i0030001.jpg. 1104-11-03-00-00_v2_files/i0030002.jpg a. 1104-11-03-00-00_v2_files/i0030003.jpg c. 1104-11-03-00-00_v2_files/i0030004.jpg b. 1104-11-03-00-00_v2_files/i0030005.jpg d. 1104-11-03-00-00_v2_files/i0030006.jpg Please select the best answer from the choices provided

A

Determine two pairs of polar coordinates for (-3,0) when 649-11-07-00-00_files/i0110000.jpg a. (3,180°), (-3,0°) c. (3,0°), (-3,180°) b. (3,270°), (-3,90°) d. (3,90°), (-3,270°) Please select the best answer from the choices provided

A

Determine two pairs of polar coordinates for (4,4) when 649-11-07-00-00_files/i0100000.jpg a. 649-11-07-00-00_files/i0100001.jpg c. 649-11-07-00-00_files/i0100002.jpg b. 649-11-07-00-00_files/i0100003.jpg d. 649-11-07-00-00_files/i0100004.jpg Please select the best answer from the choices provided

A

Find the magnitude of 649-11-04-00-00_files/i0060000.jpg for 649-11-04-00-00_files/i0060001.jpg and 649-11-04-00-00_files/i0060002.jpg. a. 649-11-04-00-00_files/i0060003.jpg c. 649-11-04-00-00_files/i0060004.jpg b. 649-11-04-00-00_files/i0060005.jpg d. 649-11-04-00-00_files/i0060006.jpg Please select the best answer from the choices provided

A

Find the rectangular coordinates of the point 649-11-07-00-00_files/i0030000.jpg. a. 649-11-07-00-00_files/i0030001.jpg c. 649-11-07-00-00_files/i0030002.jpg b. 649-11-07-00-00_files/i0030003.jpg d. 649-11-07-00-00_files/i0030004.jpg Please select the best answer from the choices provided

A

Find the work done by a force F of 21 pounds acting in the direction 649-11-03-00-00_files/i0240000.jpg in moving an object 7 feet from (0,0) to (7,0). a. 649-11-03-00-00_files/i0240001.jpg 54.59 foot-pounds c. 649-11-03-00-00_files/i0240002.jpg 74.09 foot-pounds b. 649-11-03-00-00_files/i0240003.jpg 136.49 foot-pounds d. 649-11-03-00-00_files/i0240004.jpg 294 foot-pounds Please select the best answer from the choices provided

A

Find the work done lifting a 290-pound weight 28 feet in the air. a. 4,582 foot-pounds c. No work is done b. 6,132 foot-pounds d. 8,120 foot-pounds Please select the best answer from the choices provided

A

Given 649-11-04-00-00_files/i0160000.jpg and 649-11-04-00-00_files/i0160001.jpg find the ordered triple that represents 649-11-04-00-00_files/i0160002.jpg. Then find the magnitude of 649-11-04-00-00_files/i0160003.jpg. a. 649-11-04-00-00_files/i0160004.jpg; 649-11-04-00-00_files/i0160005.jpg c. 649-11-04-00-00_files/i0160006.jpg; 649-11-04-00-00_files/i0160007.jpg b. 649-11-04-00-00_files/i0160008.jpg; 649-11-04-00-00_files/i0160009.jpg d. 649-11-04-00-00_files/i0160010.jpg; 649-11-04-00-00_files/i0160011.jpg Please select the best answer from the choices provided

A

Plot the point 649-11-07-00-00_files/i0050000.jpg. a. 649-11-07-00-00_files/i0050001.jpg b. 649-11-07-00-00_files/i0050002.jpg Please select the best answer from the choices provided

A

Suppose that during a storm the force of the wind blowing against a skyscraper can be expressed by the vector 649-11-04-00-00_files/i0130000.jpg, where each measure in the ordered triple represents the force in newtons. what is the magnitude of this force? a. 649-11-04-00-00_files/i0130001.jpg N c. 649-11-04-00-00_files/i0130002.jpg N b. 649-11-04-00-00_files/i0130003.jpg N d. 649-11-04-00-00_files/i0130004.jpg N Please select the best answer from the choices provided

A

The angle between a 180-pound force F and 649-11-03-00-00_files/i0230000.jpg = 5i + 2j is 30649-11-03-00-00_files/i0230001.jpg. Find the work done by F in moving and object from A to B. a. 649-11-03-00-00_files/i0230002.jpg 839 foot-pounds c. 649-11-03-00-00_files/i0230003.jpg 1091.19 foot-pounds b. 649-11-03-00-00_files/i0230004.jpg 484.66 foot-pounds d. 649-11-03-00-00_files/i0230005.jpg 969.33 foot-pounds Please select the best answer from the choices provided

A

The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two ships. a. 649-11-07-00-00_files/i0250000.jpg 8 mi c. 649-11-07-00-00_files/i0250001.jpg 11.31 mi b. 649-11-07-00-00_files/i0250002.jpg 3600.00 mi d. 649-11-07-00-00_files/i0250003.jpg 4.14 mi Please select the best answer from the choices provided

A

Determine two pairs of polar coordinates for (3,-3) when 649-11-07-00-00_files/i0090000.jpg a. 649-11-07-00-00_files/i0090001.jpg c. 649-11-07-00-00_files/i0090002.jpg b. 649-11-07-00-00_files/i0090003.jpg d. 649-11-07-00-00_files/i0090004.jpg Please select the best answer from the choices provided

B

Find a 649-11-03-00-00_files/i0090000.jpg b if a = 3i + 8j and b = -0.5i - 4j. a. 649-11-03-00-00_files/i0090001.jpg c. 649-11-03-00-00_files/i0090002.jpg b. -33.5 d. -30.5 Please select the best answer from the choices provided

B

Find an equation equivalent to in rectangular coordinates and describe the graph of the equation. a. ; circle with radius 7 c. ; circle with radius 7 b. ; straight horizontal line d. ; straight vertical line Please select the best answer from the choices provided

B

Find the magnitude of 649-11-04-00-00_files/i0040000.jpg for 649-11-04-00-00_files/i0040001.jpg and 649-11-04-00-00_files/i0040002.jpg. a. 649-11-04-00-00_files/i0040003.jpg c. 649-11-04-00-00_files/i0040004.jpg b. 649-11-04-00-00_files/i0040005.jpg d. 649-11-04-00-00_files/i0040006.jpg Please select the best answer from the choices provided

B

Given 649-11-04-00-00_files/i0020000.jpg and 649-11-04-00-00_files/i0020001.jpg find an ordered triple that represents 649-11-04-00-00_files/i0020002.jpg. a. 649-11-04-00-00_files/i0020003.jpg c. 649-11-04-00-00_files/i0020004.jpg b. 649-11-04-00-00_files/i0020005.jpg d. 649-11-04-00-00_files/i0020006.jpg Please select the best answer from the choices provided

B

Given 649-11-04-00-00_files/i0170000.jpg and 649-11-04-00-00_files/i0170001.jpg find the ordered triple that represents 649-11-04-00-00_files/i0170002.jpg. Then find the magnitude of 649-11-04-00-00_files/i0170003.jpg. a. 649-11-04-00-00_files/i0170004.jpg; 649-11-04-00-00_files/i0170005.jpg c. 649-11-04-00-00_files/i0170006.jpg; 649-11-04-00-00_files/i0170007.jpg b. 649-11-04-00-00_files/i0170008.jpg; 649-11-04-00-00_files/i0170009.jpg d. 649-11-04-00-00_files/i0170010.jpg; 649-11-04-00-00_files/i0170011.jpg Please select the best answer from the choices provided

B

What is the magnitude of the resultant of 1104-11-04-00-00_v2_files/i0030000.jpg ? 1104-11-04-00-00_v2_files/i0030001.jpg a. 1104-11-04-00-00_v2_files/i0030002.jpg c. 1104-11-04-00-00_v2_files/i0030003.jpg b. 1104-11-04-00-00_v2_files/i0030004.jpg d. 1104-11-04-00-00_v2_files/i0030005.jpg Please select the best answer from the choices provided

B

Which is the graph of r = 4 sin649-11-07-00-00_files/i0170000.jpg? a. 649-11-07-00-00_files/i0170001.jpg b. 649-11-07-00-00_files/i0170002.jpg Please select the best answer from the choices provided

B

Which transformation matrix would result in a 270° counterclockwise rotation about the origin?

B

A constant force of F = 649-11-03-00-00_files/i0040000.jpg moves an object along a vector D = 649-11-03-00-00_files/i0040001.jpg, where units are in pounds and feet. Find the work done. a. 1082.3 foot-pounds c. 1054 foot-pounds b. 134 foot-pounds d. -134 foot-pounds Please select the best answer from the choices provided

C

Find a 649-11-03-00-00_files/i0070000.jpg b if a = 649-11-03-00-00_files/i0070001.jpg and b = 649-11-03-00-00_files/i0070002.jpg. a. -30 c. -34 b. 649-11-03-00-00_files/i0070003.jpg d. 649-11-03-00-00_files/i0070004.jpg Please select the best answer from the choices provided

C

Find a 649-11-03-00-00_files/i0080000.jpg b if a = 10i + 4j and b = 3i + 4j. a. 649-11-03-00-00_files/i0080001.jpg c. 46 b. -14 d. 649-11-03-00-00_files/i0080002.jpg Please select the best answer from the choices provided

C

Find an equation equivalent to 2x + 3y = 6 in polar coordinates. a. r (2 sin649-11-07-00-00_files/i0220000.jpg + 3 cos649-11-07-00-00_files/i0220001.jpg) = 6 c. r (2 cos649-11-07-00-00_files/i0220002.jpg + 3 sin649-11-07-00-00_files/i0220003.jpg) = 6 b. 2 cos649-11-07-00-00_files/i0220004.jpg + 3 sin649-11-07-00-00_files/i0220005.jpg = 6r d. 2 sin649-11-07-00-00_files/i0220006.jpg + 3 cos649-11-07-00-00_files/i0220007.jpg = 6r Please select the best answer from the choices provided

C

Find an equation equivalent to in rectangular coordinates and describe the graph of the equation. a. ; circle with radius 6 c. ; straight vertical line b. ; circle with radius 6 d. ; straight horizontal line Please select the best answer from the choices provided

C

Find an equation equivalent to r = 1 + 2 sin649-11-07-00-00_files/i0150000.jpg in rectangular coordinates. a. 649-11-07-00-00_files/i0150001.jpg c. 649-11-07-00-00_files/i0150002.jpg b. 649-11-07-00-00_files/i0150003.jpg d. 649-11-07-00-00_files/i0150004.jpg Please select the best answer from the choices provided

C

Find an ordered triple to represent 649-11-04-00-00_files/i0090000.jpg in the equation 649-11-04-00-00_files/i0090001.jpg if 649-11-04-00-00_files/i0090002.jpg and 649-11-04-00-00_files/i0090003.jpg. a. 649-11-04-00-00_files/i0090004.jpg c. 649-11-04-00-00_files/i0090005.jpg b. 649-11-04-00-00_files/i0090006.jpg d. 649-11-04-00-00_files/i0090007.jpg Please select the best answer from the choices provided

C

Find an ordered triple to represent 649-11-04-00-00_files/i0220000.jpg in 649-11-04-00-00_files/i0220001.jpg if 649-11-04-00-00_files/i0220002.jpg, 649-11-04-00-00_files/i0220003.jpg, and 649-11-04-00-00_files/i0220004.jpg. a. 649-11-04-00-00_files/i0220005.jpg c. 649-11-04-00-00_files/i0220006.jpg b. 649-11-04-00-00_files/i0220007.jpg d. 649-11-04-00-00_files/i0220008.jpg Please select the best answer from the choices provided

C

Find the magnitude of 649-11-04-00-00_files/i0050000.jpg for 649-11-04-00-00_files/i0050001.jpg and 649-11-04-00-00_files/i0050002.jpg. a. 649-11-04-00-00_files/i0050003.jpg c. 649-11-04-00-00_files/i0050004.jpg b. 649-11-04-00-00_files/i0050005.jpg d. 649-11-04-00-00_files/i0050006.jpg Please select the best answer from the choices provided

C

Given 649-11-04-00-00_files/i0150000.jpg and 649-11-04-00-00_files/i0150001.jpg find the ordered triple that represents 649-11-04-00-00_files/i0150002.jpg. Then find the magnitude of 649-11-04-00-00_files/i0150003.jpg. a. 649-11-04-00-00_files/i0150004.jpg; 649-11-04-00-00_files/i0150005.jpg c. 649-11-04-00-00_files/i0150006.jpg; 649-11-04-00-00_files/i0150007.jpg b. 649-11-04-00-00_files/i0150008.jpg; 649-11-04-00-00_files/i0150009.jpg d. 649-11-04-00-00_files/i0150010.jpg; 649-11-04-00-00_files/i0150011.jpg Please select the best answer from the choices provided

C

Use the dot product to find 649-11-03-00-00_files/i0170000.jpg when v = 649-11-03-00-00_files/i0170001.jpg. a. 649-11-03-00-00_files/i0170002.jpg c. 649-11-03-00-00_files/i0170003.jpg b. 10 d. -6 Please select the best answer from the choices provided

C

Use the dot product to find 649-11-03-00-00_files/i0200000.jpg when v = 649-11-03-00-00_files/i0200001.jpg. a. -1 c. 649-11-03-00-00_files/i0200002.jpg b. -3 d. 649-11-03-00-00_files/i0200003.jpg Please select the best answer from the choices provided

C

Find an equation equivalent to r = 649-11-07-00-00_files/i0160000.jpg in rectangular coordinates. a. 649-11-07-00-00_files/i0160001.jpg c. 649-11-07-00-00_files/i0160002.jpg b. 649-11-07-00-00_files/i0160003.jpg d. 649-11-07-00-00_files/i0160004.jpg Please select the best answer from the choices provided

D

Find an equation equivalent to x2 - y2 = 4 in polar coordinates. a. cos2 649-11-07-00-00_files/i0200000.jpg - sin2 649-11-07-00-00_files/i0200001.jpg = 4r c. r cos2649-11-07-00-00_files/i0200002.jpg = 4 b. cos2 649-11-07-00-00_files/i0200003.jpg - sin2 649-11-07-00-00_files/i0200004.jpg = 4 d. r2 cos2649-11-07-00-00_files/i0200005.jpg = 4 Please select the best answer from the choices provided

D

Find the work done lifting a 290-pound weight 28 feet in the air. a. 4,582 foot-pounds c. No work is done b. 6,132 foot-pounds d. 8,120 foot-pounds Please select the best answer from the choices provided

D

The diagram below shows vector v. mc008-1.jpg Given transformation matrix mc008-2.jpg, which diagram shows the application of T to v?

D

The locations, given in polar coordinates, for two planes approaching an airport are (4 mi, 12º) and (3 mi, 73º). Find the distance between the two planes. a. 649-11-07-00-00_files/i0260000.jpg 1.00 mi c. 649-11-07-00-00_files/i0260001.jpg 5.00 mi b. 649-11-07-00-00_files/i0260002.jpg 61.01 mi d. 649-11-07-00-00_files/i0260003.jpg 3.66 mi Please select the best answer from the choices provided

D

Use the dot product to find 649-11-03-00-00_files/i0210000.jpg when v = -6i. a. 0 c. 36 b. -6 d. 6 Please select the best answer from the choices provided

D

What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0649-11-03-00-00_files/i0260000.jpg with the horizontal? a. 7.1 lb c. 17.6 lb b. 8.8 lb d. 14.4 lb Please select the best answer from the choices provided

D

Write the polar equation 1104-11-07-00-00_v2_files/i0030000.jpg in rectangular form. a. 1104-11-07-00-00_v2_files/i0030001.jpg c. 1104-11-07-00-00_v2_files/i0030002.jpg b. 1104-11-07-00-00_v2_files/i0030003.jpg d. 1104-11-07-00-00_v2_files/i0030004.jpg Please select the best answer from the choices provided

D

Find the angle between u = 649-11-03-00-00_files/i0150000.jpg and v = 649-11-03-00-00_files/i0150001.jpg. Round to the nearest tenth of a degree. a. 65.9649-11-03-00-00_files/i0150002.jpg c. 90.4649-11-03-00-00_files/i0150003.jpg b. 98.5649-11-03-00-00_files/i0150004.jpg d. 33.3649-11-03-00-00_files/i0150005.jpg Please select the best answer from the choices provided

NOT A

Given the vector mc016-1.jpg and the transformation matrix mc016-2.jpg, which vector is the image after applying the transformation to mc016-3.jpg?

NOT B

Hugo reflects a vector v across the line y = -x. Nemo rotates a vector v 180° counterclockwise about the origin. Which of the following vectors would have the same image for Hugo and Nemo?

NOT B

Use the dot product to find 649-11-03-00-00_files/i0170000.jpg when v = 649-11-03-00-00_files/i0170001.jpg. a. 649-11-03-00-00_files/i0170002.jpg c. 649-11-03-00-00_files/i0170003.jpg b. 10 d. -6 Please select the best answer from the choices provided

NOT B

Use the dot product to find 649-11-03-00-00_files/i0210000.jpg when v = -6i. a. 0 c. 36 b. -6 d. 6 Please select the best answer from the choices provided

NOT C

What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0649-11-03-00-00_files/i0260000.jpg with the horizontal? a. 7.1 lb c. 17.6 lb b. 8.8 lb d. 14.4 lb Please select the best answer from the choices provided

NOT C

Which image is a reflection over the line y = x of triangle 1? mc015-1.jpg

NOT C

Find a 649-11-03-00-00_files/i0090000.jpg b if a = 3i + 8j and b = -0.5i - 4j. a. 649-11-03-00-00_files/i0090001.jpg c. 649-11-03-00-00_files/i0090002.jpg b. -33.5 d. -30.5 Please select the best answer from the choices provided

NOT D

Use the dot product to find 649-11-03-00-00_files/i0200000.jpg when v = 649-11-03-00-00_files/i0200001.jpg. a. -1 c. 649-11-03-00-00_files/i0200002.jpg b. -3 d. 649-11-03-00-00_files/i0200003.jpg Please select the best answer from the choices provided

NOT D

Which angle of rotation is determined by the matrix below? mc020-1.jpg

NOT D

Which transformation matrix would result in a 300° counterclockwise rotation about the origin?

NOT D

The graph below shows the transformation from triangle 1 to triangle 2. mc025-1.jpg Which sequence of steps would transform triangle 1 to triangle 2?

reflect across the y-axis; rotate 180° counterclockwise about the origin

The transformation T = mc017-1.jpg is applied the figure below. mc017-2.jpg Which transformation is applied to the figure?

rotate 90° counterclockwise about the origin


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