Question

Find the Cartesian equation of the following planes:

`vecr.(2hati + 3hatj-4hatk) = 1`

Answer 1

`vecr.(2hati + 3hatj-4hatk)` = 1  ....(1)

For any arbitrary point P (x, y, z) on the plane, position vector `vecr` is given by,`vecr = xhati + yhatj - zhatk`

Substituting the value of `vecr` in equation (1), we obtain

This is the Cartesian equation of the plane.