# Thread: 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 $\displaystyle xyz$-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 $\displaystyle P.$

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?

Look forward to your response.

Best regards,
wirefree