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Let hata and hatb be two unit vectors. I...

Let `hata and hatb` be two unit vectors. If the vectors `vecc=hata+2hatb and vecd=5hata-4hatb` are perpendicular to each other then the angle between `hata and hatb` is (A) `pi/2` (B) `pi/3` (C) `pi/4` (D) `pi/6`

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(2)`

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MOTION-VECTOR -EXERCISE - 4 ( LEVEL -I)
  1. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Let vecu be a vector coplanar with the vectors veca = 2hati + 3hatj - ...

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  20. The length of the projection of the line segment joining the points (5...

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