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Question

Which of the following is the general equation of plane ?



Solution

The correct option is A


Equation of a plane with a non zero normal vector n = (a, b, c) through the point

M=(x0,y0,z0) is n. (OLOM)=0 where L=(x,y,z) and "O" is origin.

(aj+bj+ck).((xi+yj+zk)(x0i+y0j+z0k))=0

(aj+bj+ck).(xx0)i+(yy0)j+(zz0)k)=0

Which gives the general equation of a plane.

ax+ by+ cz+ d = 0,

Where d=ax0by0cz0

From here we can see that equation of a plane is a first order equation which matches with only one option given.

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