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[vec a + vec b vec b + vec c vec ...

`[vec a + vec b vec b + vec c vec c + vec a] =`

A

`[vec a vec b vec c]`

B

`sum (vec a . vec b)vec c`

C

`2[vec a vec b vec c]`

D

`|vec a||vec b||vec c|`

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The correct Answer is:
C
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If ai+j+k, i+bj+k and i+j+ck are coplanar, then

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  2. The value of p such that the vectors 2i-j+k, i+2j-3k and 3i-pj+5k are ...

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  3. [vec a + vec b vec b + vec c vec c + vec a] =

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  4. I . (j xx k) + j . (k xx i) + k . (i xx j) =

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  5. If any vector vec a xx (vec b xx vec c) + vec b xx (vec c xx vec a) +...

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  6. If vec a, vec b, vec c are three vectors such that vec a . (vec b + ve...

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  7. If the area of the parallelogram with vec(a) and vec(b) as two adjacen...

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  8. If vec(p)=hat(i)+hat(j), vec(q)=4hat(k)-hat(j) and vec(r )=hat(i)+hat...

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  9. If vec(a) and vec(b) are the vectors such that |vec(a)|=3sqrt(3), |vec...

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  10. If vec(a) is vector perpendicular to both vec(b) and vec(c ), then

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  11. A vector perpendicular to the plane contianing the points A(1,-1,2), B...

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  12. vec OA and vec BO are two vectors of magnitudes 5 and 6 respectively.I...

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  13. If veca = 2 hat i + 3 hat j - hat k , vec b = hat i + 2 hat j - 5 hat ...

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  14. The projection of a = 3i - j + 5k on b = 2i + 3j +k is

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  15. The area of the triangle whose vertices are A = (1,-1,2), B= (2,1,-1) ...

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  16. The volume of a parallelopiped whose adjacent sides are vec a = i+2j, ...

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  17. If ai+j+k, i+bj+k and i+j+ck are coplanar, then

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  18. If A, B, C and D aare four points and vec AB = vec DC then vec AC + ve...

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  19. The value of [vec a - vec b, vec b - vec c , vec c - vec a] where |...

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  20. If the veactors veca, vecb and vecc form the sides BC,CA and AB respec...

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