Scalar and Vector Products

Find the dot product of the given vectors:

• 92

• 0

• -92

• -120

What is the angle between the vectors given?

• 45.3^o

• 111.7^o

• 21.7^o

• 54.6^o

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

• They are parallel.

• They are perpendicular.

• They are unit vectors.

• They are both zero vectors.

The scalar projection of vector u=(-7,4) onto vector v=(4, -3) is

• 8

• 40

• -8

• -16

Find the magnitude of the resultant vector.

If z = <-3, -3>, what is -4z?

• <12, 12>

• <12, -3>

• <-12, -12>

• <-12, 12>

Find the cross product of (3,4,7) and (4,9,2).

• (-55, 22, -9)

• (-55, -22, -9)

• (71,34, 63)

• (-71, -34, -630

Given parallel vectors u and v. Answer ALL that apply

• their scalar product is zero

• their scalar product is either 1 or -1

• u is a scalar multiple of v

• magnitude of u equals the magnitude of v

• -23i+7j-k

• 23i+7j-k

• -2i+j-7k

• -3i+7j-k

Calculate the cross product of <1, -2, 1> and <2, -1,1>

• 5

• 3

• < -1, -1, 3>

• < -1, 1, 3>