Let veca, vecb and vecc be the three vec...

Let `veca, vecb and vecc` be the three vectors having magnitudes, 1,5 and 3, respectively, such that the angle between `veca and vecb "is" theta and veca xx (veca xxvecb)=vecc`. Then `tan theta` is equal to

A

0

B

`2/3`

C

`3/5`

D

`3/4`

Text Solution

Verified by Experts

The correct Answer is:

d

`vecaxx(vecaxxvecb)=veccRightarrow|veca||vecaxxvecb|=|vecc|`
`(vecabot (veca xx vecb))`
`1(1xx5)sin theta'=3 Rightarrowsin theta= 3/5 Rightarrowtan theta= 3/4 `

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