Problem

Find the angle between the vectors. (First find a…

01:02

Question

Answered step-by-step

Problem 18 Easy Difficulty

Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.)

$ a = \langle -1, 3, 4 \rangle , b = \langle 5, 2, 1 \rangle $

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Willis James

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus 3

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 3

The Dot Product

Discussion

You must be signed in to discuss.

Top Calculus 3 Educators

Watch More Solved Questions in Chapter 12

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Video Transcript

lesson lesson. We'll finally younger between two vectors A and B. So do this by finding the dot product, and that has given us the magnitude of vector eight times the magnitude of vector B cause Sita, where zika is the angle between two vectors. So here we'll make that cost fee to the subject of the equation So we can divide both sides by the magnitude of the vectors, so that this will cross out that then we have the costs of the angle as a dot be all over the magnitude of a the magnitude of the Okay. So here the cost theater is equal to Yeah, the doctor border took the back test 5 to 1, then the magnitude of them. Uh huh. Oh, so in the dot product, you would multiply the correspondent cams, then you some them some of the correspondent times. Oh, Okay, so here we have one plus nine plus 16. Okay, so that keeps us 26 then. Here we have 25 plus four plus one. That gives us 30. Okay, so the course of the angle, it's negative. Five last six plus five, all of us, the square root of All right. 780. That is 30 times 26. Okay, so we have the cost feature of that is four. So five negative five. Last six gives us one plus four. That gives us what's going on. That gives us five. Oh, so five over square root of 780 Okay, so to get a theater, we take that course or five on the square root of That's Okay. So the articles of 0.1 79 0 to 9, and that is 79 0.686 793 08 to 1 degrees. And this is opposed. Made leaf 80 degrees. Okay, so the angle between the vector A and Vector B supposedly eat the grease. Okay. Thanks for time at the end of the lesson.

Get More Help with this Textbook

James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups

Study with other students and unlock Numerade solutions for free.

Problem