Question

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 3y + 5 = 0.

Options

• `(0, 5/3, 0)`

• `(0, -5/3, 0)`

• `(0, 0, 5/3)`

• `(5/3, 0, 0)`

Answer 1

`underline((0, -5/3, 0))`

Explanation:

The plane is y = `(-5)/3` which is parallel to XZ-plane

∴ Foot of the perpendicular drawn from the origin ≡ `(0, (-5)/3, theta)`