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dexar [7]
3 years ago
12

If the positive z-axis points upward, an equation for a horizontal plane through the point (−4,0,−3) is

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

<u>Answer- </u>

<h2>The equation for a horizontal plane through the point (−4,0,−3) is z = -3</h2>

<u>Solution-</u>

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

The co-ordinate of the point is (-4, 0, -3)

The general equation of a plane is -

n \cdot  = 0

\Rightarrow \cdot \ = 0

\Rightarrow 0(x+4)+0(y)+1(z+3)=0

\Rightarrow z=-3

∴  The equation for a horizontal plane through the point (−4,0,−3) is z= -3


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