Question

Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = <-8, 4, 5>, b = <7, -6, 1> orthogonal parallel neither (b) a = <4, 4>, b = <-2, 2> orthogonal parallel neither (c) a = -i + 3j + 4k, b = 5i + 3j - k orthogonal parallel neither (d) a = 4i + 6j - 6k, b = -6i - 9j + 9k orthogonal parallel neither

          Determine whether the given vectors are orthogonal, parallel, or neither.
(a) a = <-8, 4, 5>, b = <7, -6, 1>
orthogonal
parallel
neither
(b) a = <4, 4>, b = <-2, 2>
orthogonal
parallel
neither
(c) a = -i + 3j + 4k, b = 5i + 3j - k
orthogonal
parallel
neither
(d) a = 4i + 6j - 6k, b = -6i - 9j + 9k
orthogonal
parallel
neither

Determine whether the given vectors are orthogonal, parallel, or neither.
(a) a = <-8, 4, 5>, b = <7, -6, 1>
orthogonal
parallel
neither
(b) a = <4, 4>, b = <-2, 2>
orthogonal
parallel
neither
(c) a = -i + 3j + 4k, b = 5i + 3j - k
orthogonal
parallel
neither
(d) a = 4i + 6j - 6k, b = -6i - 9j + 9k
orthogonal
parallel
neither

Added by Victor S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

07/31/2023

Step 1

The dot product of a and b is: a · b = (0)·(7) + (-8)·(-6) + (4)·(1) = 48 Since the dot product is not zero, the vectors are not orthogonal. They are also not parallel, since they have different directions. Show more…

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Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = <-8, 4, 5>, b = <7, -6, 1> orthogonal parallel neither (b) a = <4, 4>, b = <-2, 2> orthogonal parallel neither (c) a = -i + 3j + 4k, b = 5i + 3j - k orthogonal parallel neither (d) a = 4i + 6j - 6k, b = -6i - 9j + 9k orthogonal parallel neither