Q. 8

# Find the vector e

Given :

Cartesian equation of the plane is

5x – 7y + 2z + 4 = 0

To Find : Vector equation of the given plane.

Formulae :

1) Dot Product :

If are two vectors  then, Given the equation of the plane is

5x – 7y + 2z + 4 = 0

5x – 7y + 2z = - 4

The term (5x – 7y + 2z) can be written as But  Therefore the equation of the plane is or This is Vector equation of the given plane.

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