AC Sys, Lvl I - Lesson 2: Understanding Vectors and How to Use Them Effectively

The direction of a vector is indicated by an arrowhead on the end of the line segment.

True

Which of the following statements is true?

Vector quantities display both magnitude and direction of force.

A vector that has the initial point at (0, 0) is in the ? position.

Standard

Combine each pair of the following vectors to form a single vector for each pair. Drag the appropriate resultant vectors below into the box next to the pair that were combined.

--10-- > 0 --3-- > 0 = --13-- > 0 --10-- > 0 180 < --3-- = --7--> 0 --6-->90 --3-->90 = --9--> 90 --10-->30 --3-->30 = --13--30 210<--10-- --3--> = 210<--7--

Combine the calculated vertical components adding them vectorially.

7.66

Match the name of the method shown for solving for two vectors at right angles to each other next to the images below.

The square divided by an arrow = Parallelogram Method The right triangle = Triangle Method

The magnitude of both scalar and vector quantities are represented by the ? of a line.

length

Write the vector V2 in component form.

x = -5, y = 6

Calculate the horizontal component of vector V2.

0

Calculate the horizontal component of vector V4.

0

Calculate the vertical component of vector V1.

0

Calculate the vertical component of vector V3.

0

Calculate the horizontal component of vector V3.

-4

Calculate the vertical component of vector V6.

-5

Calculate the vertical component of vector V4.

-6

Determine the sine of angle theta.

.6

Determine the tangent of angle theta.

.75

Determine the cosine of angle theta. Calculate your answer to one decimal place.

.8

Vectors can be ? using the parallelogram method.

Added

Write the vector V1 in component form.

x = 8, y = 10

Calculate the horizontal component of vector V1.

10

Calculate the vertical component of vector V2.

10

Combine the calculated horizontal components adding them vectorially.

19.66

Use the Pythagorean Theorem and calculate the magnitude of the resultant vector. Round your answer to one decimal place.

21.1

Find the angle theta for the resultant vector. Round to only one decimal place.

21.3

Determine the angle theta. Round your answer to two decimal places.

36.87

Calculate the horizontal component of vector V5.

5

Which of the following is a scalar quantity and not a vector?

5 mile road sign

Reduce the vector shown to it's (Y) vertical component. (Round your final answer to two decimal places.)

57.63

Calculate the horizontal component of vector V6. Round your answer to two decimal places.

8.66

Calculate the vertical component of vector V5. Round your answer to two decimal places.

8.66

Reduce the vector shown to its (X) horizontal component. (Round your final answer to two decimal places.)

81.92

Use the Pythagorean Theorem to determine the value of the resultant Vr for the two vectors shown. Round your final answer to the nearest whole number.

93

Each of the vectors below have a magnitude of 10. Drag the appropriate angle value to the space next to the correct vector to indicate it's direction.

Arrow facing left = 180 degrees Arrow facing right = 0 degrees Arrow that's slanted = 45 degrees Arrow that's facing straight up = 90 degrees

To determine a vector's X (horizontal) and Y (vertical) components when the magnitude and direction (angle) are known, one typically uses the function ? to find the X and ? to find the Y components.

Cosine/Sine

From 0° on the X (horizontal) axis, positive vectors rotate in a ? direction.

Counterclockwise

Determine the initial and terminal points of vector V2

Initial point (2, 2), terminal point (-3, 8)

Determine the initial and terminal points of vector V1.

Initial point(-2, -5), terminal point (6, 5)

Drag and locate the appropriate term to properly label the vector's start and end point.

Initial → Terminal

A single vector produced from combining two or more vectors is called the ? .

Resultant

One possible method to solve for the resultant of vectors V1 and V2 is the triangle method.

True

The vectors V1 and V2 could be added by using the parallelogram method or the triangle method.

True

The vectors V1 and V2 could be added by using the parallelogram method.

True

Drag the terms below to the appropriate locations to properly label the sides of the right triangle.

Vy = Opposite (Vertical) Vx = Adjacent (Horizontal) Vr = Hypotenuse (Resultant)