a) Given a line 1 with direction vector u and a plane P with normal vector...

 

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a) Given a line 1 with direction vector u and a plane P with normal vector N, show that InP=1 or 1nP = if and only if u = 0 . b) Determine the conditions under which the equations Ax+By+ Cz + D = 0 and A'x+ B'y + C'z + D' = 0 represent the same plane. a) Given a line 1 with direction vector u and a plane P with normal vector N, show that InP=1 or 1nP = if and only if u = 0 . b) Determine the conditions under which the equations Ax+By+ Cz + D = 0 and A'x+ B'y + C'z + D' = 0 represent the same plane.

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The provided image contains two separate mathematical problems related to vector calculus and the geometry of a line and a plane in threedimensional space a Given a line l with direction vector vecu a... View the full answer