Determine whether the given vectors are orthogonal, parallel, or neither.(a) a = = (-6, 5, 5), b = (7,-8, 3)O orthogonalO parallelO neither(b) a = (4, 2), b = (-1, 2)O orthogonalO parallelO neithera = −i + 2j + 4k, b = 2i + 3j - kO orthogonalO parallelO neither(c)(d) a = 8i + 4j – 8k, b = -12i - 6j + 12kO orthogonalO parallelO neither

Answered: Determine whether the given vectors are…

Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = (-6, 5, 5), b = (7,-8, 3) O orthogonal parallel O neither

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 13E

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Question

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Determine whether the given vectors are orthogonal, parallel, or neither.
(a) a = = (-6, 5, 5), b = (7,-8, 3)
O orthogonal
O parallel
O neither
(b) a = (4, 2), b = (-1, 2)
O orthogonal
O parallel
O neither
a = −i + 2j + 4k, b = 2i + 3j - k
O orthogonal
O parallel
O neither
(c)
(d) a = 8i + 4j – 8k, b = -12i - 6j + 12k
O orthogonal
O parallel
O neither

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$a c c o r d i n g t o b a r t l e b y p o l i c y w e d o o n l y f i r s t p a r t o f m u l t i p l e q u e s t i o n s t h e r e f o r p l e a s e r e p o s t o t h e r p a r t s (a) a = < - 6, 5, 5 > b = < 7, - 8, 3 > i f a a n d b i s o r t h o g o n a l t h a n \vec{a} . \vec{b} = 0 i f a a n d b a r e p a r a l l e l t h a n \vec{a} = k \vec{b}$

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