Question

Given that P = (-5, 11) and Q = (-6, 4), find the component form and magnitude of vector QP.

Answer 1

Answer on Question#53923 – Math – Vector Calculus

1. Given that $P = (-5, 11)$ and $Q = (-6, 4)$, find the component form and magnitude of vector $QP$.

Solution.

At first, we will find the components of vector $QP$:

$$QP = (-5 - (-6), 11 - 4) = (1, 7).$$

And now we can find the magnitude of our vector:

$$|QP| = QP = \sqrt{1^2 + 7^2} = \sqrt{50} = 5\sqrt{2}.$$

Answer:

hence, $QP = (1,7)$ and $|QP| = 5\sqrt{2}$.

www.AssignmentExpert.com