JEE MATHEMATICS MCQ: 3D PLANES

1 Easy

1 of 1

Application +4 | -1

The vector equation of the plane through the point

\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}

and perpendicular to the line of intersection of the plane

\mathbf{r} \cdot(3 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}})=1

and

\mathbf{r} \cdot(\hat{\mathbf{i}}+4 \hat{\mathbf{j}}-2 \hat{\mathbf{k}})=2

, is

View answer and explanation

Correct option: B

\mathbf{r} \cdot(2 \hat{\mathbf{i}}-7 \hat{\mathbf{j}}-13 \hat{\mathbf{k}})=1

Option B is correct because the equation of the plane is found using the cross product of the normal vectors of the given planes and the given point.

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