Consider the plane π : x − 2y + 3z − 1 = 0 and the line l : x = (1 − y)/2 = z + 1.      1.      Find the point of intersection of π and l.       2.      Find the point-normal equation of the plane perpendicular to π and containing l.

Q: Let P(3,-1,4) and Q(10, 13,9) u = (2,5, -1) and v= (7,-1,2) l be the line through P along direction…

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Q: Find the cartesian equation of the plane determined by the two intersecting lines x-4 y+1 z-2 L1: 3…

A: Here,  v1=3i+2j+kv2=5i+3j+2k v1×v2=ijk321532=i4-3-j6-5+k9-10=i-j-k Thus, the equation of the plane…

Q: Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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