For what values of b are the vectors [−18, b, 9] and [b, b2, b] orthogonal? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) b =

Therefore the given vectors are orthogonal for b = 0,±3.

Step-by-step explanation:

If   and   are two vectors orthogonal, then the dot product of and will be zero.

i.e

If    and

Given two vectors are (-18,b,9) and (b,b²,b)

Let

and

Therefore,

=(-18).b+b.b²+9.b

= -18b+b³+9b

= b³-9b

Since and are orthogonal. Then = 0.

Therefore,

b³-9b= 0

⇒b(b²-9)=0

⇒b =0 or b²=9

⇒b=0 or b =±3

Therefore the given vectors are orthogonal for b = 0,±3.

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.