5-3 Vectors and Dot Product (AP Precalculus)

• All of these are correct.

What is the xy-component form of the two-dimensional vector that has magnitude 52 in direction 218 degrees?

• <-41,-32>

• <-17,-49>

• <-32,-41>

• <-49,-17>

• 314

• 246

• 336

• 294

What is the magnitude of the vector A = < 65, -26 > ?

• 70

• 60

• 91

• 166

• 35

• 48

• 53

• 17

What is the magnitude of the 3-dimensional vector <-12,-16,-15> ?

• 19

• 25

• 34

• 43

What is the distance between point P=(3, 1, -8) and Q=(-12, 7, -18) ?

To find distance between two points, calculate the magnitude of the vector from P to Q.

• 11

• 19

• 31

• 115

Calculate the dot product u.v of vector v = <3,5> with vector w=<8,1>.

• 23

• 6

• 14

• 29

Suppose that a = <-21, 9, -5> and b = <-7, 12, 2>. What is the value of their dot product: a.b?

• 56

• 245

• -49

• 157

• 1

• 2

• -8

• -4