Vectors and Dot Products

User Generated

xngtvey

Mathematics

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 ?

Unformatted Attachment Preview

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 is the measure of the angle between them? Use the following vectors to answer the question u: v: w: 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: v: w: 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: v: w: What is the angle between v and w? 0 30 60 90 Use the following vectors to answer the question. u: v: What is ||u||2 ? 6 36 25 50 Use the following vectors to answer the question. u: v: What is ||v||2 ? 10 100 52 104 Use the following vectors to answer the question. u: v: What is the projection of u onto v? 17u 17v
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Explanation & Answer

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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