A vector \[\mathbf{n}\] of magnitude 8 units is inclined to x-axis at \[{{45}^{o}}\], y-axis at \[{{60}^{o}}\] and an acute angle with z-axis. If a plane passes through a point \[(\sqrt{2},\,-1,\,1)\] and is normal to \[\mathbf{n}\], then its equation in vector form is

\[\mathbf{r}.(\mathbf{i}+\mathbf{j}+\mathbf{k})=4\]

\[\mathbf{r}.(\sqrt{2}\mathbf{i}+\mathbf{j}+\mathbf{k})=4\]

\[\mathbf{r}.(\sqrt{2}\mathbf{i}+\mathbf{j}+\mathbf{k})=2\]

A vector \[\mathbf{n}\] of magnitude 8 units is inclined to x-axis at

1.	A vector \[\mathbf{n}\] of magnitude 8 units is inclined to x-axis at \[{{45}^{o}}\], y-axis at \[{{60}^{o}}\] and an acute angle with z-axis. If a plane passes through a point \[(\sqrt{2},\,-1,\,1)\] and is normal to \[\mathbf{n}\], then its equation in vector form is
A.	\[\mathbf{r}.(\sqrt{2}\mathbf{i}+\mathbf{j}+\mathbf{k})=4\]
B.	\[\mathbf{r}.(\sqrt{2}\mathbf{i}+\mathbf{j}+\mathbf{k})=2\]
C.	\[\mathbf{r}.(\mathbf{i}+\mathbf{j}+\mathbf{k})=4\]
D.	None of these
Answer» C. \[\mathbf{r}.(\mathbf{i}+\mathbf{j}+\mathbf{k})=4\]

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A vector \[\mathbf{n}\] of magnitude 8 units is inclined to x-axis at \[{{45}^{o}}\], y-axis at \[{{60}^{o}}\] and an acute angle with z-axis. If a plane passes through a point \[(\sqrt{2},\,-1,\,1)\] and is normal to \[\mathbf{n}\], then its equation in vector form is

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