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QuestionMathematics

Given that a vector is the directed line segment from P(0,0) to Q(3,2), what is the magnitude of that vector?
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Answer

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Step 1
I'll solve this step-by-step using the vector magnitude formula:

Step 2
: Identify the Vector Coordinates

- Vector components: $$\vec{v} = \langle 3-0, 2-0 \rangle = \langle 3, 2 \rangle
- Ending point Q: (3,2)

Final Answer

The magnitude of the vector is \sqrt{13} units.

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