AnswersPrecalculusApplying Vectors in the Plane

Dot Product and Work Answers

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Find the dot product of u = 〈3, –4〉 and v = 〈–7, –2〉.

A
u · v = –29
B
u · v = –22
C
u · v = –13
D
u · v = –10
2
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221✔ 5391029/4301/7

A
221
B
✔ 539
C
1029/4
D
301/7
3

Find the angle θ between u = 〈6, –5〉 and v = 〈11, 8〉.

A
θ = 3.77°
B
θ = 75.83°
C
θ = 89.87°
D
θ = 165.83°
5

What is u · v?

A
19
B
59
C
61
D
160
9

Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?

A
They form an acute angle.
B
They form an obtuse angle.
C
They point in the same direction.
D
They point in opposite directions.
10

Which sets of vectors are orthogonal? Check all that apply.a = 〈–1, 0〉 and b = 〈1, 0〉c = 〈1, 0〉 and d = 〈0, –1〉e = 〈–4, –6〉 and f = 〈12, 8〉g = 〈4, –6〉 and h = 〈12, 8〉 v = 〈10, –5〉 and w = 〈–10, –20〉x = 〈10, –5〉 and y = 〈–10, –2〉

A
a = 〈–1, 0〉 and b = 〈1, 0〉
B
c = 〈1, 0〉 and d = 〈0, –1〉
C
e = 〈–4, –6〉 and f = 〈12, 8〉
D
g = 〈4, –6〉 and h = 〈12, 8〉
E
v = 〈10, –5〉 and w = 〈–10, –20〉
F
x = 〈10, –5〉 and y = 〈–10, –2〉

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