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Let vec(a),vec(b)andvec(c) be three non-...

Let `vec(a),vec(b)andvec(c)` be three non-coplanar vectors and let `vec(p),vec(q),vec(r)` be the vectors defined by the relations `vec(p)=(vec(b)xxvec(c))/([vec(a)vec(b)vec(c)]),vec(q)=(vec(c)xxvec(a))/([vec(a)vec(b)vec(c)]),vec(r)=(vec(a)xxvec(b))/([vec(a)vec(b)vec(c)])" Then the value of "(vec(a)+vec(b))*vec(p)+(vec(b)+vec(c))*vec(q)+(vec(c)+vec(a))*vec(r)=`

A

0

B

1

C

2

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3

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C
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SURA PUBLICATION-APPLICATIONS OF VECTORA ALGEBRA-ADDITIONAL QUESTIONS ( Choose the Correct or the most suitable answer from the given four alternatives : )
  1. The vector, 2hat(i)+hat(j)+2hat(k),hat(i)+lambdahat(j)-hat(k)t" and "2...

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  2. Let vec(a),vec(b)andvec(c) be three non-coplanar vectors and let vec(p...

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  3. The number of vectors of unit length perpedicular to the vectors (ha...

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  4. If vec(d)=vec(a)xx(vec(b)xxvec(c))+vec(b)xx(vec(c)xxvec(a))+vec(c)xx(v...

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  5. If vec(a)andvec(b) are two unit vectors, then the vectors (vec(a)+vec(...

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  6. The area of the parallelogram having diagonals vec(a)=3hat(i)+hat(j)-2...

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  7. If vec(a),vec(b)andvec(c) are any three vectors, then vec(a)xx(vec(b)x...

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  8. The volume of the parallelepiped whose sides are given by bar(OA)=2hat...

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  9. If absvec(a)=absvec(b)=1" such that "vec(a)+2vec(b)and5vec(a)-4vec(b) ...

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  10. The angle between the vector 3hat(i)+4hat(j)+5hat(k) and the z-axis is

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  11. A vector vec(OP) makes 60^(@) and 45^(@) with the positive direction o...

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  12. If vec(a)=hat(i)+2hat(j)+3hat(k),vec(b)=-hat(i)+2hat(j)+hat(k),vec(c)=...

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  13. If theta is the between the vector vec(a)andvec(b)," then " sintheta i...

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  14. If the vectors hat(i)+hat(j)+2hat(k),-hat(i)+2hat(k)and2hat(i)+xhat(j)...

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  15. If vec(a)=absvec(a)vec(e)" then "vec(e).vec(e) is

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  16. The value of |vec(a)+vec(b)|^(2)+|vec(a)-vec(b)|^(2) is

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  17. If vec(p)xxvec(q)=2hat(i)+3hat(j),vec(r)xxvec(s)=3hat(j)+2hat(k)," the...

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  18. If the work done by a force bar(F)=hat(i)+mhat(j)+hat(k) in moving the...

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  19. The two planes 3x + 3y - 3z - 1 = 0 and x + y - z + 5 = 0 are

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  20. The straight lines (x-3)/(2)=(y+5)/(4)=(z-1)/(-13)and(x+1)/(3)=(y-4)/(...

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