A vector \vec{n} of magnitude 8 units is inclined to the x-axis is | Filo
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Class 12


3D Geometry

Three Dimensional Geometry

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A vector of magnitude units is inclined to the x-axis is , y-axis at and an acute angle with the z-axis. If a plane passes through a point and is normal to , find its equation in vector form.

If and are the angles made by the line segment with the coordinate axis.
and are called as the direction cosines and are usually denoted by and

Here , and let . Then,

We know that .
So, the equation of the plane is
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