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Let vec a , vec b ,a n d vec c be non-c...

Let ` vec a , vec b ,a n d vec c` be non-coplanar unit vectors, equally inclined to one another at an angle`theta` . If ` vec axx vec b+ vec bxx vec c=p vec a+q vec b+r vec c ,` find scalars `p ,qa n dr` in terms of `thetadot`

A

`(1+ cos theta) sqrt( cos 2 theta)`

B

`(1+ cos theta) sqrt(1-2 cos 2 theta)`

C

`(1- cos theta) sqrt( 1+ 2 cos 2 theta)`

D

none of these

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The correct Answer is:
C
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MOTION-VECTOR -EXERCISE - 2 ( LEVEL -I)
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  7. Consider a tetrahedron with faces f1, f2, f3, f4. Let vec a1, vec a2...

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  8. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

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  9. Points L, M and N lie on the sides AB, BC and CA of the triangle ABC s...

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  10. For any four points P,Q,R,S |bar(PQ) xx bar(RS) - bra(QR) xx bar(PS) ...

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  11. Given vec(a) = xhat(i) + yhat(j) + 2hat(k) , vec(b) = hat(i) - hat(j)...

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  12. Let vec r be a vector perpendicular to vec a + vec b+ vec c, where [ve...

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  13. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equal...

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  14. If the vectors a hat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k) and hat(i...

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  15. (vec(d) + vec(a)).(vec(a) xx (vec(b) xx (vec(c) xx vec(d)))) simplifie...

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  17. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

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  18. The vectors vec(a) = - 4hat(i) + 3hat(k), vec(b)

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  19. Prove that : (vec(a) + vec(b)). { (vec(b)+vec(c))xx (vec(c)+vec(a))}...

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