Let the planes be $3x - 6y - 2z = 15$ and $2x + y - 2z = 5$.
Statement-$1$: The parametric equations of the line of intersection of the given planes are $x = 3 + 14t, y = 1 + 2t, z = 15t$.
Statement-$2$: The vector $14\hat{i} + 2\hat{j} + 15\hat{k}$ is parallel to the line of intersection of the given planes.
Statement-$1$: The parametric equations of the line of intersection of the given planes are $x = 3 + 14t, y = 1 + 2t, z = 15t$.
Statement-$2$: The vector $14\hat{i} + 2\hat{j} + 15\hat{k}$ is parallel to the line of intersection of the given planes.
- AStatement-$1$ is true,Statement-$2$ is true. Statement-$2$ is the correct explanation for Statement-$1$.
- BStatement-$1$ is true,Statement-$2$ is true. Statement-$2$ is not the correct explanation for Statement-$1$.
- CStatement-$1$ is true,Statement-$2$ is false.
- DStatement-$1$ is false,Statement-$2$ is true.
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| $List-I$ | $List-II$ |
| $(P) \gamma$ equals | $(1) -\hat{i}-\hat{j}+\hat{k}$ |
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| $(5) \sqrt{\frac{2}{3}}$ |
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