Question

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

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

Added by Jeffery C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

02/17/2023

Step 1

(a) Take the dot product of each vector with itself: $a\cdot a=-5+3+7=16$ (b) Take the dot product of each vector with itself: $b\cdot b=-6+8+2=26$ Show more…

Show all steps

Thanks for your feedback!

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