Find the exact shortest distance of the point $A\left( 2,-3,2 \right)$ to the plane \({{p}_{1}}:3x

Question

Find the exact shortest distance of the point $A\left( 2,-3,2 \right)$ to the plane ${{p}_{1}}:3x-2y-3z=4$. Find the coordinates of foot of perpendicular of point $B(3,-4,4)$ to plane ${{p}_{1}}:3x-2y-3z=4$.

Accepted Answer

(i) $\frac{2}{\sqrt{22}}$ units (ii) $\left( \frac{63}{22},-\frac{43}{11},\frac{91}{22} \right)$

Vectors - Perpendicular Projection and Reflection in a Plane

Vectors - Perpendicular Projection and Reflection in a Plane

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