Question

Given that P = (5, 9) and Q = (13, 12), find the component form and magnitude of vector PQ.

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Answer 1

Answer on Question #42420 - Math – Analytic Geometry

Question: Given that $P = (5, 9)$ and $Q = (13, 12)$, find the component form and magnitude of vector $PQ$.

Answer:

Component form:

$$\overline{PQ} = (13 - 5, 12 - 9) = (8, 3)$$

Magnitude:

$$\left\| \overline{PQ} \right\| = \sqrt{8^2 + 3^2} = \sqrt{64 + 9} = \sqrt{73}$$

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