Question

Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.


help me please

Answer 1

Answer on Question #42441, Math, Analytic Geometry

Task:

Given that $P = (5, 8)$ and $Q = (6, 9)$, find the component form and magnitude of vector PQ.

Solution:

$$P = (5, 8) \text{ and } Q = (6, 9)$$ $$PQ = (6 - 5, 9 - 8) = (1, 1) - \text{component form}$$ $$|PQ| = \sqrt{1^2 + 1^2} = \sqrt{2} - \text{magnitude}$$

Answer:

$$PQ = (1, 1) - \text{Component form}$$ $$|PQ| = \sqrt{2} - \text{Magnitude}$$

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