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If a vector has an initial point of (2,6) and a terminal point (14,11). Out of 5, 11, 12, and 13, what is closest to the magnitude of the vector?
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Know how to find the magnitude?
Use the distance formula.
The distance between the points will give the magnitude of the vector.
Distance formula, aka Pythagorean Theory applied to distance: \(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) The magnitude of a vector is equal to the distance it travels.
Well, that was some interesting lag.
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I did the distance formula, and I believe the answer is 12. Is that true?
\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) \(D=\sqrt{(14-2)^2+(11-6)^2}\) \(D=\sqrt{(12)^2+(5)^2}\) \(D=\sqrt{144+25}\) \(D=\sqrt{169}\) Find your mistake?
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