Question

The equation of a plane which intercept unit length from the co-ordinate axes is ________.

Answer 1

Equation of a plane in intercept form is given by : $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$ , where $a,b$ and $c$ are the intercepts on the $x,y$ and $z$ axes respectively.

Given:

$a=1$

$b=1$

$c=1$

Hence, equation of plane is $\frac{x}{1}+\frac{y}{1}+\frac{z}{1}=1$

$x+y+z=1$ is the required equation of plane.