distance between the plane and point

**Reza_** · March 17th 2009, 03:07 AM

Hi

Given the points A=(-1,1,0), B=(1,3,0), C=(0,3,-1) and D=(1,2,3)

What is the distance between the plane through A,B, C and point D?

anyone can give me a hint?

Thanks

**Danny** · March 17th 2009, 03:39 AM

Originally Posted by Reza_

Hi

Given the points A=(-1,1,0), B=(1,3,0), C=(0,3,-1) and D=(1,2,3)

What is the distance between the plane through A,B, C and point D?

anyone can give me a hint?

Thanks

Hint: Once you have the equation of the plane in the form $ax + by + cz + d =0$ then the distance between that plane and the point $P(x_0,y_0,z_0)$ is given by

$\frac{|a x_0 + b y_0 + c z_0 + d |}{\sqrt{a^2+b^2+c^2}}$

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