## How do I find the Cartesian equation of a plane containing

Cartesian equation of a plane. Planes also have a third form of representation, namely the cartesian equation. \text {E: } ax+by+cz=d E: ax + by +cz = d. a, b, c, d \in \mathbb {R} a,b,c,d ∈

## Cartesian Form

ax+by +cz = d a x + b y + c z = d where d = ax0 +by0 +cz0 d = a x 0 + b y 0 + c z 0. This second form is often how we are given equations of planes. Notice that if we are given the equation of a plane in this form we can quickly

## Finding the Cartesian Equation of a Plane

Cartesian equation of a plane. r →. n → = a →. n → ⤇ n 1 x + n 2 y + n 3 z = n 1 a 1 + n 2 a 2 + n 3 a 3 = d. n 1 x + n 2 y + n 3 z = d. D = | r →. n | = | a →. n |. {=} | a →. n → | n 1 2 + n 2 2 + n 3 2 = |

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