If \[\vec{p}\] and \[\vec{q}\] are non-collinear unit vectors and \[\left| \vec{p}+\vec{q} \right|=\sqrt{3}\], then \[(2\vec{p}-3\vec{q})\cdot (3\vec{p}+\vec{q})\] is equal to

If \[\vec{p}\] and \[\vec{q}\] are non-collinear unit vectors and \[\l

1.	If \[\vec{p}\] and \[\vec{q}\] are non-collinear unit vectors and \[\left\| \vec{p}+\vec{q} \right\|=\sqrt{3}\], then \[(2\vec{p}-3\vec{q})\cdot (3\vec{p}+\vec{q})\] is equal to
A.	0
B.	\[\frac{1}{3}\]
C.	\[-\frac{1}{3}\]
D.	\[-\frac{1}{2}\]
Answer» E.

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If \[\vec{p}\] and \[\vec{q}\] are non-collinear unit vectors and \[\left| \vec{p}+\vec{q} \right|=\sqrt{3}\], then \[(2\vec{p}-3\vec{q})\cdot (3\vec{p}+\vec{q})\] is equal to

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