1.

The equation of the plane passing through the points \[(-1,-2,\,0),(2,\,3,\,5)\] and parallel to the line      \[\mathbf{r}=-3\mathbf{j}+\mathbf{k}+\mathbf{\lambda }(2\mathbf{i}+5\mathbf{j}-\mathbf{k})\] is [J & K 2005]

A.   \[\mathbf{r}.(-30\mathbf{i}+13\mathbf{j}+5\mathbf{k})=4\]
B.   \[\mathbf{r}.(30\mathbf{i}+13\mathbf{j}+5\mathbf{k})=4\]
C.   \[\mathbf{r}.(30\mathbf{i}+13\mathbf{j}-5\mathbf{k})=4\]
D.   \[\mathbf{r}.(30\mathbf{i}-13\mathbf{j}-5\mathbf{k})=4\]
Answer» B.   \[\mathbf{r}.(30\mathbf{i}+13\mathbf{j}+5\mathbf{k})=4\]


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