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If ` vec a , vec b ,a n d vec c` are mutually perpendicular vectors of equal magnitudes, then find the angle between vectors ` vec aa n d vec a+ vec b+ vec cdot`

A

`cos^(-1) (1//sqrt3)`

B

`cos^(-1)(1//3)`

C

`cos^(-1)(2//sqrt3)`

D

none of these

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The correct Answer is:
A
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Let vec u , vec v and vec w be vector such vec u+ vec v+ vec w= ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Let bar(a)=hat j-hat k and bar(c)=hat i-hat j-hat k then the vector ba...

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  19. If vec a is a vector of magnitude 50 and parallel to vec b= 6 vec i - ...

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  20. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

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