In: Advanced Math
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.)