Question

Write the ordered pair that represents the vector from A(1,-3) to B(-6 -8) then find the magnitude of AB

Answer 1

For the ordered pair, you can just use final - initial on each part. That is:

The vector from (a,b) to (c,d) is (c-a,d-b)

Once you have that vector, we can find the magnitude by applying the pythagorean theorem:

\[|(a,b)| = \sqrt{a^2+b^2}\]