CODEWITHSUNDEEP
python3dplane
webmaker
webmaker

Reputation: 466

shortest distance from plane to origin using a plane equation

suppose i have a plane equation ax+by+cz=d, how can I go about finding the shortest distance from the plane to the origin?

I am going in reverse of this post. In this post, they start out with a point P0 and the normal. In my case, I only have the plane equation Distance from origin to plane (shortest)

Here is what I have so far. 

        #calculate the distance from plane to origin
        dist=math.sqrt(new_a**2+new_b**2+new_c**2)

        x_dist=(a*d)/dist
        y_dist=(b*d)/dist
        z_dist=(c*d)/dist

Upvotes: 0

Views: 1085

Answers (1)

kolenda
kolenda

Reputation: 2811

The normal of your plane is [a,b,c]. Multiply it by d and get the length of the result. This should give you what you need.

Upvotes: 1

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