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Let vec(a) , vec(b),vec(c) be vectors of...

Let `vec(a) , vec(b),vec(c)` be vectors of length 3,4,5 respectively. Let `vec(a)` be perpendicular to `vec(b) + vec(c), vec(b) ` to ` vec(c) + vec(a)` and `vec(c) ` to `vec(a) + vec(b)` . Then `|vec(a) + vec(b) + vec(c)|`.

A

`2sqrt(5)`

B

`2sqrt(2)`

C

`10sqrt(5)`

D

`5sqrt(2)`

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The correct Answer is:
D
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MOTION-VECTOR -EXERCISE - 1
  1. यदि |vec a| = 7, |vec a-vec b | = 8 तथा |vec a +vec b| = 10, तब |ve...

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  2. Angle between diagonals of a parallelogram whose side are represented ...

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  3. Let vec(a) , vec(b),vec(c) be vectors of length 3,4,5 respectively. Le...

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  4. The value of 'a' for which the points A, B,C with position vectors ...

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  5. A paticle acted on by constant forces 4hati=hatj-3hatk and 3hati+hatj-...

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  6. Let vec(a), vec(b) and vec(c) be three vectors such that vec(a) + vec...

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  7. If vec(a)= hati - hatj, bar(b) = hat(i) + hat(j), vec(c) = hat(i) + 3h...

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  8. Given the three vectors vec(a) = - 2hati + hat(j) + hat(k), vec(b) = ...

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  9. Let vec a , vec ba n d vec c be three units vectors such that 2 vec a...

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  10. Let vec a = hati+hatj and vec b = 2 hat i - hat k. The point of inters...

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  11. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

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  12. Unit vector perpendicular to the plane of DeltaABC with position vecto...

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  13. If vec(b) and vec(c) are two non-collinear vectors such that vec(a)...

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  14. Find the vector of length 3 unit which is perpendicular to hat i+ ...

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  15. Given the vertices A(2,3,1), B(4,1,-2), C(6,3,7) and D(-5,-4,8) of a ...

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  16. For a non zero vector vec(A) . If the equations vec(A).vec(B) = vec...

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  17. If vecu and vecv are unit vectors and theta is the acute angle bet...

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  18. If vecu=veca-vecb,vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvecv...

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  19. If A(1,1,1),C(2,-1,2) the vector equation of the line vec(AB) is v...

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  20. The value of [(veca -2vecb-vecc)(veca-vecb)( veca-vecb-vecc)] is equal...

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