Question

Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = <9, 6>, b = <-4, 6> orthogonal parallel neither (b) a = <6, 7, -2>, b = <3, -1, 7> orthogonal parallel neither (c) a = -4i + 12j + 8k, b = 3i - 9j - 6k orthogonal parallel neither (d) a = 2i - j + 2k, b = 3i + 2j - 2k orthogonal parallel neither

          Determine whether the given vectors are orthogonal, parallel, or neither.
(a) a = <9, 6>, b = <-4, 6>
orthogonal
parallel
neither
(b) a = <6, 7, -2>, b = <3, -1, 7>
orthogonal
parallel
neither
(c) a = -4i + 12j + 8k, b = 3i - 9j - 6k
orthogonal
parallel
neither
(d) a = 2i - j + 2k, b = 3i + 2j - 2k
orthogonal
parallel
neither

Determine whether the given vectors are orthogonal, parallel, or neither.
(a) a = <9, 6>, b = <-4, 6>
orthogonal
parallel
neither
(b) a = <6, 7, -2>, b = <3, -1, 7>
orthogonal
parallel
neither
(c) a = -4i + 12j + 8k, b = 3i - 9j - 6k
orthogonal
parallel
neither
(d) a = 2i - j + 2k, b = 3i + 2j - 2k
orthogonal
parallel
neither

Added by Anna M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/05/2023

Step 1

If the dot product is 0, then the vectors are orthogonal. a · b = (9)(-4) + (6)(6) = -36 + 36 = 0 Since the dot product is 0, the vectors are orthogonal. Answer: $\boxed{\text{orthogonal}}$ (b) Let's take the dot product of the given vectors: a · b = (6)(3) + Show more…

Show all steps

Thanks for your feedback!

Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = <9, 6>, b = <-4, 6> orthogonal parallel neither (b) a = <6, 7, -2>, b = <3, -1, 7> orthogonal parallel neither (c) a = -4i + 12j + 8k, b = 3i - 9j - 6k orthogonal parallel neither (d) a = 2i - j + 2k, b = 3i + 2j - 2k orthogonal parallel neither