Question

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

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

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

Added by Marina O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

10/04/2023

Step 1

If the dot product is 0, then the vectors are orthogonal. a · b = (-7)(6) + (4)(-6) + (5)(1) = -42 - 24 + 5 = -61 ≠ 0 Since the dot product is not 0, the vectors are not orthogonal. To check if they are parallel, we can see if one vector is a scalar multiple of Show more…

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