Question

F the positive z-axis points upward, an equation for a horizontal plane through the point (0,−2,−3) is

Answer 1

The equation for a horizontal plane through the point (0,−2,−3) is z= -3.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let's assume n is the normal vector for the horizontal plane < 0, 0, 1 > .

The co-ordinate of the point is (0,−2,−3)

The general equation of a plane is -

$n < x-x_0 , y - y_0, z-z_0 > =0\\\\ < 0,0,1 > \\\\0(x)+0(y+2) +1(z+3)\\\\z = -3$

Thus, The equation for a horizontal plane through the point (0,−2,−3) is z= -3.

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