Vectors - Projection Lengths

Vectors - Projection Lengths

TGM Original Questions

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

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Answer:\( \sqrt{\displaystyle\frac{131}{22}}\) units

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