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Let veca,vecb and vecc be non-zero vecto...

Let `veca,vecb` and `vecc` be non-zero vectors such that no two are collinear and
`(vecaxxvecb)xxvecc=1/3|vecb||vecc|veca`
If `theta` is the acute angle between the vectors `vecb` and `vecc` then `sin theta` equals

A

`(2sqrt2)/(3)`

B

`(sqrt2)/(3)`

C

`2/3`

D

`1/3`

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The correct Answer is:
A
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
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  4. If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2, then |ve...

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  9. |(a xx b).c | = |a||b||c| , if

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  11. Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+...

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  12. If veca, vecb, vec c are three non coplanar vectors , then the value ...

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  13. Let vec(A) = 2hat(i) + hat(k), vec(B) = hat(i) + hat(j) + hat(k) and ...

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  14. A particle is acted upon by constant forces 4hati +hatj - 3hatk and 3h...

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  15. Force hati + 2hatj -3hatk , 2hati + 3hatj + 4hatk and -hati - hatj + ...

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  16. The resultant moment of three forces hati + 2hatj -3hatk, 2hati + 3hat...

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