Question

Given that P = (-4, 5) and Q = (-6, 4), find the component form and magnitude of the vector PQ.

Answer 1

Given that $P = (-4, 5)$ and $Q = (-6, 4),$ the component form of the vector $PQ$ is $(-6-(-4), 4-5) = (-2, -1)$ and magnitude is $\sqrt{(-2)^2+(-1)^2}=\sqrt{5}.$