Q5 of 76 Page 493

Find the vector and cartesian equations of the planes

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

Let the position vector of the point


Normal⊥to the plane



Vector eq. of the plane,







x – 1 + y – z – 2 = 0


x + y – z – 3 = 0


Required Cartesian eq. of the plane


x + y – z = 3


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.

3y + 4z – 6 = 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 (1,4, 6) and the normal vector to the plane is

6

Find the equations of the planes that passes through three points.

(1, 1, –1), (6, 4, –5), (–4, –2, 3)