Let A(3, 0, -1), B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the midpoint of AC. If G divides BM in the ratio, 2:1, then cos (∠GOA) (O being the origin) is equal to:

Let A(3, 0, -1), B(2, 10, 6) and C(1, 2, 1) be the vertices of a trian

1.	Let A(3, 0, -1), B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the midpoint of AC. If G divides BM in the ratio, 2:1, then cos (∠GOA) (O being the origin) is equal to:
A.	\(\frac{1}{{2\sqrt {15} }}\)
B.	\(\frac{1}{{\sqrt {15} }}\)
C.	\(\frac{1}{{6\sqrt {10} }}\)
D.	\(\frac{1}{{\sqrt {30} }}\)
Answer» C. \(\frac{1}{{6\sqrt {10} }}\)

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Let A(3, 0, -1), B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the midpoint of AC. If G divides BM in the ratio, 2:1, then cos (∠GOA) (O being the origin) is equal to:

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