Answer:
b = 2, 0, -2
Step-by-step explanation:
This is a multivariable calculus question and two vectors are orthogonal if and only if their dot product is zero. Since
[-6,b,2] . [b,b²,b] = -6b + b³ + 2b
= -4b + b³
=b (4+b²)
== b (2²+b²)
==b (b-2)(b+2)
The given vectors are orthogonal if b = −2,
b = 0,
b = 2
