Precalculus Vectors Review

Find the angle between the vectors u and v to the nearest degree: 
u = 〈2, 3〉 and v = 〈-4, -1〉

• 138°

• 38°

• 29°

• 110°

Determine the components of the vector: magnitude= 12 and direction= 125°

• < -9.9, 6.9 >

• < 9.9, -6.9 >

• < -6.9, 9.8 >

• < 6.9, -9.8 >

If y = <2, 0> and
z = <-1, -4>, find 3y - 2z.

• <5, -8>

• <4, 8>

• <8, 8>

• <-8, -8>

Calculate the component form of a vector with a magnitude: 422mph and a direction angle: 287°

• < -403.6 , 123.4>

• <123.4 , -403.6>

• <123.4 , 403.6>

• <-123.4 ,-403.6>

Find the angle between the two vectors

• 137.97

• 86.19

• 117.35

• 161.57

Find the magnitude of the vector

• 1

Convert from Polar to Rectangular

In vector addition, when is the sum of the two magnitudes equal to the magnitude of their sums?

• when the vectors have equal magnitudes

• when vectors are parallel

• when vectors are orthogonal

• when vectors have unequal magnitudes

Find the magnitude of the vector <2, -3>.

• √11

• 13

• √-4

• √13

Find the direction of the vector <-3, -5>.

• 59.03°

• 239.03°

• 210.96°

• 120.96°