A) \[\vec{r}.\left( 20\hat{i}-\hat{j}+5\hat{k} \right)=120\]
B) \[\vec{r}.\left( 20\hat{i}-8\hat{j}+5\hat{k} \right)=120\]
C) \[\vec{r}.\left( 20\hat{i}-8\hat{j}+5\hat{k} \right)=2\]
D) \[\vec{r}.\left( 20\hat{i}-8\hat{j}+5\hat{k} \right)=20\]
Correct Answer: B
Solution :
G(2, -5, 8) \[\therefore \] P(6, 0, 0), Q (0, -15, 0) and \[R(0,0,24)\] \[\therefore \] Equation of plane is \[\frac{x}{6}\,+\frac{y}{-15}+\frac{z}{24}=1\]or \[\vec{r}.(20\hat{i}-8\hat{j}+5\hat{k})=120\]You need to login to perform this action.
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