Operations on Vectors and Dot Product

Find the dot product of the given vectors:

• 92

• 0

• -92

• -120

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

u = <3, -9, -2> v = <-5, 4, 10>

Find u ⋅ v

Find the dot product of <1, -2> and <3, 2>.

• 1

• <3, -4>

• <4, 0>

• -1

If vector X <1,9>

vector Y is <3,2>

Find X*Y

Mathematical Equivalence

ON

Let vectors u = 7i + 4j - 3k and v = -4j+2k.

What is u*v?

If u = <-3, 4>, v = <6, 8>, and y = <1, 1>, what is u + 3v + 2y?

• <16, 20>

• <17, 18>

• <23, 30>

• <17, 30>

An airplane is flying on a bearing of 340^o at 355 mph. A wind is blowing with the bearing of 115^o at 40 mph. Find the component form of the resultant vector. Round to three decimal places.

• <-85.165, 316.686>

• <316.686, -85.165>

• <-316.686, -85.165>

• <-89.543, 309.289>