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Let k ˆ a j ˆ a i ˆ a a 3 2 1 + + = G and k ˆ b j ˆ b i ˆ b b 3 2 1 + + = G be two vectors such that | a G | = 1 a G ⋅ b G = 2 and | b G | = 4. If , b 3 – ) b a 2( c G G G G × = then the angle between b G and c G is equal to :

1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 3 2 cos 1
2. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − 3 2 cos 1
3. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − − 2 3 cos 1
4. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − − 3 1 cos 1

Correct answer: ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − − 2 3 cos 1

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