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[" If "vec a,vec b" and "vec c" determin...

[" If "vec a,vec b" and "vec c" determine the vertices of a triangle,show that "(1)/(2)[vec b timesvec c+vec c timesvec a+vec a timesvec b]" gives the "],[" If "vec a,vec b" and "vec c" determine the vertices of a triangle,show that "(1)/(2)[vec b timesvec c+vec c timesvec a+vec a timesvec b]" gives the "],[" vector area of me triangle.Hence,deduce the condition that the three points "vec a,vec b" and "vec c" are collinear."],[" Also,find the unit vector normal to the plane of the triangle."]

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