-->

Three Dimensional Geometry

Question
CBSEENMA12033353

Find the intercept form of the equation of the plane x + 3 y – 7 z + 2 = 0.

Solution
The equation of plane is x + 3 y – 7 z + 2 = 0
or           x + 3 y – 7 z = -2    or    fraction numerator straight x over denominator negative 2 end fraction plus fraction numerator 3 straight y over denominator negative 2 end fraction minus fraction numerator 7 straight z over denominator negative 2 end fraction space equals space 1
or      fraction numerator straight x over denominator negative 2 end fraction plus fraction numerator straight y over denominator negative begin display style 2 over 3 end style end fraction plus fraction numerator straight z over denominator begin display style 2 over 7 end style end fraction space equals space 1
which is of intercept form straight x over straight a plus straight y over straight b plus straight z over straight c equals space 1 where straight a space equals space minus 2 comma space space space straight b space equals space minus 2 over 3 comma space straight c space equals space 2 over 7.

Some More Questions From Three Dimensional Geometry Chapter

Find the direction cosines of x, y and z-axis.