# Vectors and Dot Products

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Question description

Ten multiple choice questions ranging from: Find the dot product of: <-1, 7> and <2, ¾>; Given: u <-1, 7> and v <4, -3> Find: (u • v)(u + v);

Use the following vectors to answer the question u: <3, -1> v: <4, 3> w: <⅔ , -8/9 > What is the angle between u and v ?

Find the dot product of: <-1, 7> and <2, ¾> <-2, 21/4> <2, -21/4> 13/4 21 Given: u <-1, 7> and v <4, -3> Find: (u • v)(u + v) <25, 100> <-25, 100> <-75, -100> <75, -100> If v is <-3, -4> Find: v • v 9 16 25 49 Given: u <-1, 7> and v <4, -3> 45 135 225 B or C What is the measure of the angle between them? Use the following vectors to answer the question u: <3, -1> v: <4, 3> w: <⅔ , -8/9 > Which vectors, if any, are orthogonal? u and v u and w v and w none of the above Use the following vectors to answer the question u: <3, -1> v: <4, 3> w: <⅔ , -8/9 > What is the angle between u and v ? 48.2 55.3 58.6 61.1 Use the following vectors to answer the question u: <3, -1> v: <4, 3> w: <⅔ , -8/9 > What is the angle between v and w? 0 30 60 90 Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is ||u||2 ? 6 36 25 50 Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is ||v||2 ? 10 100 52 104 Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is the projection of u onto v? <33/13, 22/13> <11/26, 22/26> 17u 17v

ProfessorMyron
School: UT Austin

Attached

Find the dot product of: and

13/4
21

Given: u and v Find: (u • v)(u + v)

If v is Find: v • v

9
16
25
49

Given: u and v

45
135
225
B or C

What...

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