Answer to Question #202030 in Analytic Geometry for hhgggggggg

Question

Given that P = (8, 8) and Q = (9, 17), find the component form and magnitude of the vector PQ.

Answer 1

$Given \\P=(8,8)\\Q=(9,17)$

So, $PQ=(9-8,17-8)=(1,9)$

And now we can find the magnitude of our vector:

$|PQ|=\sqrt{(1)^2+(9)^2}=\sqrt{1+81}=\sqrt{82}$

Answer:

PQ = (1,9) and |PQ| = $\sqrt{82}$