Question

Find the equation of the plane with intercepts $2,3$ and $4$ on the $x,y$ and $z$-axis respectively.

Answer 1

The equation of a plane with intercepts a,b,c on x,y and z-axis respectively. 15

$\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$

Given

intercept on x-axis = 2

$\therefore a=2$

intercept on y-axis =3

$\therefore b=3$

intercept on z-axis = 4

$\therefore c=4$