Question

The plane through the point $\left( { - 1, - 1, - 1} \right)$ and containing the line of intersection of the planes ${\bf{\vec r}}\,\, \cdot \,\,\left( {\widehat {{\bf{\dot i}}} + 3\,\widehat {{\bf{\dot j}}} - {\bf{\hat k}}} \right) = 0$ and ${\bf{\vec r}}\,\, \cdot \,\,\left( {\widehat {{\bf{\dot j}}} + 2\,{\bf{\hat k}}} \right) = 0$ is

Accepted Answer

${\bf{\vec r}}\,\, \cdot \,\,\left( {\widehat {{\bf{\dot i}}} + 2\widehat {{\bf{\dot j}}} - 3{\bf{\hat k}}} \right) = 0$

Answer

${\bf{\vec r}}\,\, \cdot \,\,\left( {\widehat {{\bf{\dot i}}} + 4\widehat {{\bf{\dot j}}} + {\bf{\hat k}}} \right) = 0$

Answer

${\bf{\vec r}}\,\, \cdot \,\,\left( {\widehat {{\bf{\dot i}}} + 5\widehat {{\bf{\dot j}}} - 5{\bf{\hat k}}} \right) = 0$

Answer

${\bf{\vec r}}\,\, \cdot \,\,\left( {\widehat {{\bf{\dot i}}} + \widehat {{\bf{\dot j}}} + 3{\bf{\hat k}}} \right) = 0$

JEE MATHEMATICS MCQ: DOT PRODUCT OF VECTORS

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