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If a, b, c are three unit vectors such t...

If a, b, c are three unit vectors such that `a+b+c=0`. Where 0 is null vector, then `a.b+a.c+c.a` is

A

1

B

3

C

`-(3)/(2)`

D

none of these

Text Solution

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The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If a + b + c = 0, |a| = 3, |b| = 5, |c| = 7, then the angle between a ...

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  2. If a, b , c are vectors such that c = a + b and a. b = 0 , then

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  3. If a, b, c are three unit vectors such that a+b+c=0. Where 0 is null v...

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  4. Let vec u , vec v and vec w be vector such vec u+ vec v+ vec w= ...

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  5. If a , b, c are three vectors such that a + b + c = 0 and |a| = 1, |b|...

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  6. If vec a , vec b ,a n d vec c are mutually perpendicular vectors o...

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  7. If |veca| =3, |vecb|=4 and |vecc|=5 such that each is perpendicular to...

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  8. let a, b, c be three vectors such that a. (b + c) = b. (c + a) = c. (a...

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  9. If |a| = |b| = |a + b| = 1, then |a-b| is equal to

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  10. If all the vectors a, b, c, a + b, b + c and a + b +c be unit vectors...

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  11. If ( vec axx vec b)^2+( vec adot vec b)^2=144a n d| vec a|=4, then fin...

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  12. In a right angled triangle ABC, the hypotenuse AB =p, then vec(AB).vec...

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  13. The vector 3i-2j+k,i-3j+5k and 2i+j-4k form the sides of a triangle, T...

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  14. The three vectors 7i-11j+k, 5i+3j-2k and 12i-8j-k form

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  15. Values of a for which the points A, B, C with position vectors 2i - j+...

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  16. A unit vector a makes an angle pi//4 with z-axis and if a + i+j is a u...

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  17. A unit vector in xy-plane that makes an angle of 45^0 with the vector ...

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  18. If a = i+j-k,b=i-j+k and c is aunit vector perpendicular to the vector...

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  19. If a=-i+j+k and b =2i+0j+k, then the vector c satisfying the conditio...

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  20. If a = 1, -1, 1, a. b =0, a xx b = c, where c = -2, -1, 1 then the vec...

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