Explanation Calculation: Since, v is orthogonal to both u and w . Property: Two vectors are orthogonal if and only if the dot product of two vectors is zero. Now, use the distributive property, v ⋅ ( u + w ) = v ⋅ u + v ⋅ w Since, v is orthogonal to both u and w . So, v ⋅ u = 0 and v ⋅ w = 0 ...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 13.3, Problem 3PQ

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Tell which property of dot products allows us to conclude that if $v$ is orthogonal to both $u and w$ , then $v$ is orthogonal to $u + w$ ?

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Chapter 13.3, Problem 2PQ

Chapter 13.3, Problem 4PQ

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Chapter 13 Solutions

CALCULUS (CLOTH)

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E

Knowledge Booster

Tell which property of dot products allows us to conclude that if v is orthogonal to both u and w , then v is orthogonal to u + w ?

Solution Summary: The author explains that v is orthogonal to both u and w by distributive law.

Tell which property of dot products allows us to conclude that if $v$ is orthogonal to both $u and w$ , then $v$ is orthogonal to $u + w$ ?

Want to see the full answer?

Chapter 13 Solutions

Tell which property of dot products allows us to conclude that if v is orthogonal to both u and w , then v is orthogonal to u + w ?

Solution Summary: The author explains that v is orthogonal to both u and w by distributive law.

Tell which property of dot products allows us to conclude that if v is orthogonal to both u and w, then v is orthogonal to u+w?

Want to see the full answer?

Chapter 13 Solutions

Tell which property of dot products allows us to conclude that if $v$ is orthogonal to both $u and w$ , then $v$ is orthogonal to $u + w$ ?