taiwan-gsat 2021 QG

taiwan-gsat · Other · gsat__math 5 marks Vectors: Lines & Planes Distance Computation (Point-to-Plane or Line-to-Line)

In tetrahedron $A B C D$, $\overline { A B } = \overline { A C } = \overline { A D } = 4 \sqrt { 6 }$, $\overline { B D } = \overline { C D } = 8$, and $\cos \angle B A C = \frac { 1 } { 3 }$. The distance from point $D$ to plane $A B C$ is (31) $\sqrt { (32) }$. (Express as a fraction in simplest radical form)

In tetrahedron $A B C D$, $\overline { A B } = \overline { A C } = \overline { A D } = 4 \sqrt { 6 }$, $\overline { B D } = \overline { C D } = 8$, and $\cos \angle B A C = \frac { 1 } { 3 }$. The distance from point $D$ to plane $A B C$ is (31) $\sqrt { (32) }$. (Express as a fraction in simplest radical form)

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