Q. 45.0( 1 Vote )

# Find the vector a

Given :

d = 6

direction ratios of are (2, -1, -2) To Find : Equation of plane

Formulae :

1) Unit Vector :

Let be any vector

Then the unit vector of is Where, 2) Dot Product :

If are two vectors  then, 3) Equation of plane :

Equation of plane which is at a distance of 5 units from the origin and having as a unit vector normal to it is Where, For given normal vector Unit vector normal to the plane is     Equation of the plane is   This is vector equation of the plane.

Now, = (x × 2) + (y × (-1)) + (z × (-2))

= 2x - y – 2z

Therefore equation of the plane is This is Cartesian equation of the plane.

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