Chapter 6 Test Review
Find the dot product of u = <-9, 4> and v = <1, 2>
-1
Write the complex number 100(cos240° + isin240°) in standard form.
-50 - 50√3i
Find the angle between the vectors u = 7i + 2j and v = -4j
105.95 degrees
Solve the triangle for a given A = 36°, c = 16 and B = 98° Round your answer to the nearest hundredth.
13.07
Find B given A = 150°, b = 4.8 and a = 9.4. Round your answer to the nearest degree.
15 degrees
Find A given a = 2, b = 4 and c = 5. Round your answer to the nearest degree
22 degrees
A triangular parcel of land has borders of lengths 55 meters, 85 meters and 100 meters. Find the area of the parcel of land. Round your answer to the nearest tenth of a meter.
2336.7
Forces with magnitudes of 250 pounds and 130 pounds act on an object at angles of 45° and -60° respectively, with the positive x-axis. Find the magnitude of the resultant of these forces.
250.15 pounds
Find c given A = 25°, b = 28, and a = 18. Round your answer to the nearest hundredth.
38.96
Find B given A = 35°, b = 8 and c = 12. Round your answer to the nearest degree.
40 degrees
Use DeMoivre's Theorem to find the complex number (3 - 3i)⁶. Give your answer in standard form
5832i
If the length of a pond is from point b to point c and Joshua is standing at a point, A, that is 565 feet from point b, and 480 feet from point c, what is the distance across the pond if the angle at A is 80°? Round your answer to the nearest foot.
675
Find 5u - v if u = i - j and v = 6i + 9j
<-1, -14>
Find u - 3v if u = <-5, 2> and v = <-1, -10>
<-2, 32>
Find 2v + u if u = 2i + 3j and v = -i -2j
<0, -1>
Find the component form and magnitude of the vector w that has initial point (-8, -12) and terminal point (4, 1)
<12, 13> ; √313
Find 2v + u if u = <0, -4> and v = <4, 6>
<8, 8>
Find C given B = 130°, c = 10.1 and b = 5.2. Round your answer to the nearest degree.
Undefined - no triangle exists
Are the vectors u = <9, -12> and v = <-4, -3> orthogonal?
yes
Write the complex number z = -6 +6i in trigonometric form.
z = 6√2(cos(3π/2) + isin(3π/2))