Find the equation of a plane that makes equal | vedclass

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Question

(B) The intercept form of a plane is given by $\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$,where $a, b, c$ are the intercepts on the $x, y,$ and $z$

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$x + y + z = 1$

Vedclass · Answer

(B) The intercept form of a plane is given by $\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$,where $a, b, c$ are the intercepts on the $x, y,$ and $z$ axes respectively.Given that the plane makes equal intercepts of unit length,we have $a = 1, b = 1, c = 1$.Substituting these values into the intercept form equation:$\frac{x}{1} + \frac{y}{1} + \frac{z}{1} = 1$Therefore,the equation of the plane is $x + y + z = 1$.

Find the equation of a plane that makes equal intercepts of unit length on the axes.

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