Question

Suppose that 𝑂𝑃⃗⃗⃗⃗ = (a,−6, c) and 𝑂𝑄⃗⃗⃗ = (3, b,−9), where 𝑶𝑷⃗⃗⃗⃗⃗⃗= 𝑶𝑸⃗⃗⃗⃗⃗⃗. What are the corresponding values of a, b, and c, and why are we certain the values are correct?

Answer 1

if OP and OQ are the same, then clearly

a = 3
b = -6
c = -9