(c) a = i + 2j + 4k, b = 2i + 3j - k O orthogonal O 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 16E
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I need help with parts c and d please, thanks!

Determine whether the given vectors are orthogonal, parallel, or neither.
(a) a = (-6, 5, 5), b = (7,-8, 3)
O orthogonal
O parallel
neither
(b) a = (4,2), b = (-1, 2)
O orthogonal
parallel
neither
(c) a = i + 2j + 4k, b = 2i + 3j - k
O orthogonal
O parallel
neither
(d)
a = 8i + 4j - 8k, b = -12i - 6j + 12k
O orthogonal
parallel
O neither
Transcribed Image Text:Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = (-6, 5, 5), b = (7,-8, 3) O orthogonal O parallel neither (b) a = (4,2), b = (-1, 2) O orthogonal parallel neither (c) a = i + 2j + 4k, b = 2i + 3j - k O orthogonal O parallel neither (d) a = 8i + 4j - 8k, b = -12i - 6j + 12k O orthogonal parallel O neither
Expert Solution
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according to policy we do only first psrt of multiple there for re post other parts in next question (c)   a=-i+2j+4kb=2i+3j-kif  a.b=0   than a nd b are orthogonal we know  i.i=j.j=k.k=1i.j=j.k=k.i=0

 

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