Vectors - Projection Lengths

Vectors - Projection Lengths

TGM Original Questions

The coordinates of points \(A\) and \(B\) are \(\left( 3,1,-2 \right)\) and \(\left( 7,4,-5 \right)\). Find the exact length of projection of \(\overrightarrow{AB}\) on the plane \({{p}_{1}}:x-3y+2z=-5\).

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Answer:\(\sqrt{\frac{355}{14}}\) units

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