Co-planar test is an important step in continuous collision detection. Let p0= [0,0,0], p1= [1,0,1], p2=...

Co-planar test is an important step in continuous collision detection. Let p0= [0,0,0], p1= [1,0,1], p2= [0,1,1], p3= [1,1,0] be four points and v0= [0,0,0], v1= [1,0,0], v2= [0,1,0], v3= [0,1,1] be their velocities. Please derive the formula to compute the time when these four points are co-planar. (Hint: You may use Unity or calculator to compute dot and cross products. You don’t need to give the time solution.)

Expert Solution

Colby Messinger answered 2 years ago

Let B = (p0, p1, p2) be the standard basis for P2 and B = (q1,...

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