A) \[1/3\]
B) \[1/2\]
C) \[2\]
D) \[3\]
Correct Answer: B
Solution :
[b] Given plane is \[\frac{x}{2}+\frac{y}{3}+\frac{z}{4}=\frac{1}{2}\] From the figure, volume of tetrahedron, \[V=\frac{1}{6}\left[ \overrightarrow{OA}\,\,\overrightarrow{OB}\,\,\overrightarrow{OC} \right]\] \[=\frac{1}{6}\left[ \hat{i}\,\,\,\frac{3}{2}\hat{j}\,\,2\hat{k} \right]=\frac{1}{6}\times \frac{3}{2}\times 2=\frac{1}{2}\]You need to login to perform this action.
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