Explanation Given information : The three vectors v → = a 1 i + b 1 j + c 1 k , w → 1 =i-2j , and w → 2 =2i + k . Formula used : The scalar product of two vectors P Q → and R S → is given by P Q → ⋅ R S → = | P Q → | | R S → | cos θ , θ angle between two vectors. Calculations: The three given vectors are v → = a 1 i + b 1 j + c 1 k , w → 1 =i-2j , and w → 2 =2i + k . Let α angle between vectors w → 1 =i-2j , and w → 2 =2i + k , then cos α = w 1 → ⋅ w 2 → | w 1 | | w 2 | = ( i-2j ) ⋅ ( 2i + k ) | i-2j | | 2i + k | = 2-2 3 3 =0 , i

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector spa…

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Chapter 9, Problem 65SP

To determine

Tofind:A relationship between numbers a1 , b1 , and c1 so that the angle between vectors v→=a1i+b1j+c1k and w→1=i-2j is the same as the angle between w→2=2i+k .

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Chapter 9, Problem 64SP

Chapter 9, Problem 66SP

Chapter 9 Solutions

Calculus

Ch. 9.1 - Prob. 1PS Ch. 9.1 - Prob. 2PS Ch. 9.1 - Prob. 3PS Ch. 9.1 - Prob. 4PS Ch. 9.1 - Prob. 5PS Ch. 9.1 - Prob. 6PS Ch. 9.1 - Prob. 7PS Ch. 9.1 - Prob. 8PS Ch. 9.1 - Prob. 9PS Ch. 9.1 - Prob. 10PS

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Tofind: A relationship between numbers a 1 , b 1 , and c 1 so that the angle between vectors v → = a 1 i + b 1 j + c 1 k and w → 1 =i-2j is the same as the angle between w → 2 =2i + k .

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Tofind:A relationship between numbers a1 , b1 , and c1 so that the angle between vectors v→=a1i+b1j+c1k and w→1=i-2j is the same as the angle between w→2=2i+k .

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