Q4 of 76 Page 493

In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin.

3y + 4z – 6 = 0

Let the coordinate of the foot of ⊥ P from the origin to the given plane be P(x,y,z).

x + y + z = 1


Direction ratio (1,1,1)






This is the form of


lx + my + nz = d (∴ d = Distance of the normal from the origin.)




More from this chapter

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4

In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin.

2x + 3y + 4z – 12 = 0

 4

In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin.

2x + 3y + 4z – 12 = 0

 4

In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin.

x + y + z = 1

 5

Find the vector and cartesian equations of the planes

that passes through the point (1, 0, –2) and the normal to the plane is