Review 13.1 - 13.4

If a = <6, 4> and b = <-2, 1>, Find 2a - 3b.

• <6, 5>

• <6, 11>

• <18, 5>

• <18, 11>

If a = <-1, 2, 6>, find lal.

• 3

• sqrt(7)

• sqrt(39)

• sqrt(41)

If a = <-3, 1, 4> and b = <2, -1, 6>, find a x b.

• <2, -26, 1>

• <2, 26, 1>

• <10, 26, 1>

• <10, -26, -1>

Find the angle between a and b:

a = <4, 1, -2> and b = <5, -6, 3>

• 36

• 78

• 95

• 102

Find values of x such that the vectors <3, 2, x> and <2x, 4, x> are orthogonal.

• -4

• 0

• 2

• 4

Find the distance from (2, 6, 5) to the y - axis.

• 2

• 6

• 5

• sqrt(41)

Find the distance from (4, -2, 1) to xy - plane.

• 1

• sqrt(17)

• sqrt(5)

• 2sqrt(5)

Are the following vectors parallel, orthogonal, or neither?

a = <-3, 9, 6> and b = <4, -12, -8>

• parallel

• orthogonal

• neither

Are the following vectors parallel, orthogonal, or neither?

a = <-1, 2, 5> and b = <3, 4, -1>

• parallel

• orthogonal

• neither

Find the work done by a force F = 8i - 3j + 6k that moves an object from the point (0, 1, 2) to the point (5, 4, 10)

• 9

• 79

• 88

• 97