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vec a = a1 hat i + a2 hat j + a3 hat k ...

`vec a = a_1 hat i + a_2 hat j + a_3 hat k` ` |a| = 1 , &, vec a. vec b = 2`
`vec b = b_1 hat i + b_2 hat j + b_3 hat k` `|b| = 4`
`vec c = 2 (vec a times vec b) - 3 vec b` then angel between `vec c` and `vec b`

A

`cos^(-1)((2)/(3))`

B

`cos^(-1)(-(1)/(sqrt(3)))`

C

`cos^(-1)((2)/(sqrt(3)))`

D

`cos^(-1)(-(sqrt(3))/(2))`

Text Solution

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The correct Answer is:
B
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