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Let a unit vector which makes an angle of 60º with k ˆ j ˆ 2 i ˆ 2 − + and an angle of 45º with k ˆ i ˆ − be C G . Then ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + − + k ˆ 3 2 j ˆ 2 3 1 i ˆ 2 1 C G is

1. k ˆ 3 2 2 2 1 j ˆ 3 2 i ˆ 3 2 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + + −
2. k ˆ 2 1 j ˆ 2 3 1 i ˆ 3 2 − +
3. k ˆ 3 2 3 1 j ˆ 2 3 1 3 1 i ˆ 2 1 3 1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ +
4. k ˆ 2 1 i ˆ 3 2 −

Correct answer: k ˆ 2 1 i ˆ 3 2 −

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