# Math Help - Equation of a plane

1. ## Equation of a plane

Greetings.

Given the xyz coordinate of a point on a plane and the angle the plane makes with the horizontal, could the equation of the plane be established?

Would greatly appreciate a prompt response.

Best regards,
wirefree

2. Hello, wirefree!

Given the $xyz$-coordinate of a point on a plane
and the angle the plane makes with the horizontal,
could the equation of the plane be established?

I would say: No.

Visualize a "pup tent".

Code:
              *
/  *  P
/     o
/        *
/           *
/           / \
/           /   \
/           / \   \
*           /   *   \
*        /      *  \
*     /         * \
*  /            *\
*               *

The two sloping sides make the same angle with the horizontal
. . and both sides contain the point $P.$

3. Appreciate the prompt response, Soroban.

Further to your comment, does the strict criteria for determining the equation of a plane remain 'a minimum of three (3) points on it' even if another quantity pertaining to the plane, the plane angle for instance, is available?