(a) Explanation Given: The vectors are u ⇀ , v → , and w → such that u ¯ × w ¯ = v ¯ × w ¯ Proof: Let’s assume that, u ¯ = 5 j ^ + 2 j ^ + k ^ And, v ¯ = 2 j ^ + 2 j ^ + k ^ And, w ¯ = 3 i ^ The cross product of u ¯ × w ¯ will be, u ¯ × w ¯ = | i ^ j ^ k ^ 5 2 1 3 0 0 | = ( 0 − 0 ) j ^ − ( 0 − 3 ) (b) To determine To find: if u → ⋅ w → = v → ⋅ w → , u ¯ = v ¯ follows or not

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 9, Problem 88SP

(a)

To determine

To find:if u¯×w¯=v¯×w¯ , u¯=v¯ follows or not

(b)

To determine

To find: if u→⋅w→=v→⋅w→ , u¯=v¯ follows or not

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Chapter 9, Problem 87SP

Chapter 9, Problem 89SP

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Chapter 9 Solutions

Calculus

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if u ¯ × w ¯ = v ¯ × w ¯ , u ¯ = v ¯ follows or not

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