Explanation Given information: Two vectors u = 2 i − 3 j + 5 k & v = 〈 4 , − 6 , 10 〉 Concept and Formula Used: If v = a i + b j + c k ‖ v ‖ = Magnitude of vector ‖ v ‖ = a 2 + b 2 + c 2 . Parallel vectors: Two vectors are parallel if angle between them is 0 or π Angle between two vectors: cos θ = a ⋅ b ‖ a ‖ ‖ b ‖ Dot product of two vectors. Calculation: To Check whether vectors u = 2 i − 3 j + 5 k & v = 〈 4 , − 6 , 10 〉 are parallel to each other or not angle between them is to be found out: Therefore, u . v = ( 2 i − 3 j + 5 k ) ( 4 i − 6 j + 10 k ) = 8 + 18 + 50 u

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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Chapter 9.2, Problem 48PS

To determine

To find:Whether the vector v=〈4,−6,10〉 is parallel to u=2i−3j+5k .

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Chapter 9.2, Problem 47PS

Chapter 9.2, Problem 49PS

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Chapter 9 Solutions

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

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Whether the vector v = 〈 4 , − 6 , 10 〉 is parallel to u = 2 i − 3 j + 5 k .

Solution Summary: The author explains that two vectors are parallel if angle between them is 0orpi.

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To find:Whether the vector v=〈4,−6,10〉 is parallel to u=2i−3j+5k .

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Chapter 9 Solutions