Question

For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated list.)


(−4, b, 3), (b, b^2, b)

Answer 1

The two vectors are orthogonal or perpendicular if and only if the dot product of the two vectors is 0

Answer 2

so this means

(−4, b, 3) dot (b, b^2, b) = 0

-4*b + b*b^2 + 3*b = 0

-4b + b^3 + 3b = 0

solve for b