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Show that the four points P ,\ Q ,\ R ,\...

Show that the four points `P ,\ Q ,\ R ,\ S` with position vectors ` vec p ,\ vec q ,\ vec r ,\ vec s` respectively such that `5 vec p-2 vec q+6 vec r-9 vec s= vec0,` are coplanar. Also find the position vector of the point of intersection of the line segments PR and QS.

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