JEE Math Practice Question
A vector $\vec{v}$ in the first octant is inclined to the $x$-axis at $60^{\circ}$, to the $y$-axis at 45 and to the $z$-axis at an acute angle. If a plane passing through the points $(\sqrt{2},-1,1)$ and $(a, b, c)$, is normal to $\vec{v}$, then :
- A.$a+b+\sqrt{2} c=1$
- B.$\sqrt{2} a+b+c=1$
- C.$\sqrt{2} a-b+c=1$
- D.$a+\sqrt{2} b+c=1$
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