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A,B,C and D are four points with positio...

A,B,C and D are four points with position vectors `vec a`, `vec b`, `vec c` and `vec d` respectively such that `5 vec a - 2 vec b + 6 vec c- 9 vec d= vec 0`. Show that the point A,B,C,D are coplanar and find find the P.V. of the point in which the lines AC and BD intersects.

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Four points P,Q,R and S with respective position vectors vec p , vec q , vec r and vec s are such that 5 vec p - 2vec q+ 6 vec r - 9 vec s= vec 0 . Show that the four points are coplanar and find the P.V. of the point in which the lines PQ and RS intersect.

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