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18. Given the two unit vectors A= fi+ šj-k and B=-ži+ šj+ {k If 0 is the radian measure of the angle between A and B, find sin 0 in two ways: (a) by using the cross product (formula (3) of this section); (b) by using the dot product and a trigonometric identity.

18. Given the two unit vectors A= fi+ šj-k and B=-ži+ šj+ {k If 0 is the radian measure of the angle between A and B, find sin 0 in two ways: (a) by using the cross product (formula (3) of this section); (b) by using the dot product and a trigonometric identity.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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CROSS PRODUCT

18. Given the two unit vectors A = ti + 3j - k and B=-{i + šj+ $k If 0 is the radian measure of the angle between A and B, find sin 0 in two ways: (a) by using the cross product (formula (3) of this section); (b) by using the dot product and a trigonometric identity. 19. Follow the instructions of Exercise 18 for the two unit vectors: 1 1 1 1 5 1 A = i- j+ k and B= i+ j+ k 3V3 3V3 3V3
Transcribed Image Text:18. Given the two unit vectors A = ti + 3j - k and B=-{i + šj+ $k If 0 is the radian measure of the angle between A and B, find sin 0 in two ways: (a) by using the cross product (formula (3) of this section); (b) by using the dot product and a trigonometric identity. 19. Follow the instructions of Exercise 18 for the two unit vectors: 1 1 1 1 5 1 A = i- j+ k and B= i+ j+ k 3V3 3V3 3V3
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