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

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

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

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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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Chapter 9, Problem 64SP

Chapter 9, Problem 66SP

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Chapter 9 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

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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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