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If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc)...

If `(vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc` and any three vectors such that `veca.vecb=0,vecb.vecc=0,` then `veca` and `vecc` are

A

inclined at an angle of `pi`/6 between them

B

perpendicular

C

parallel

D

inclined at an angle of `pi`/3 between them

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The correct Answer is:
C
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL -I)
  1. If C is the mid-point of AB and P is any point outside AB, then

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  2. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

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  3. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

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  4. ABC is triangle, right angled at A. The resultant of the forces acting...

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  5. The values of a for which the points A, B, and C with position vectors...

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  6. If vec(u) and vec(v) are unit vectors and theta is the actue angle...

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

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  8. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

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  9. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

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  10. If vec u ,"" vec v , vec w are noncoplanar vectors and p, q are re...

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  11. Let veca=hatj-hatk and vecc=hati-hatj-hatk. Then the vector vecb satis...

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  12. If the vectors veca=hati-hatj+2hatk, vecb=2hati+4hatj+hatk and vecc=la...

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  13. The vectors veca and vecb are not perpendicular and vecac and vecd are...

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  14. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

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  15. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

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  16. If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are t...

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  17. If [(vecaxxvecb, vecbxxvecc, veccxxveca)]=lamda[(veca, vecb, vecc)]^(2...

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  18. The angle between the lines whose direction cosines satisfy the equ...

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  19. Let veca, vecb and vecc be non-zero vectors such that no two are colli...

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  20. Let veca, vecb and vecc be three unit vectors such that vecaxx(vecbxxv...

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