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Let vec a=2 hat i- hat j+ hat k , vec b...

Let ` vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d vec c= hat i+ hat j-2 hat k` be three vectors. A vector in the plane of ` vec ba n d vec c` , whose projection on ` vec a` is of magnitude `sqrt(2//3)` , is `2 hat i+3 hat j-3 hat k` b. `2 hat i-3 hat j+3 hat k` c. `-2 hat i- hat j+5 hat k` d. `2 hat i+ hat j+5 hat k`

A

`2i+3j-3k`

B

`2i+3j+3k`

C

`-2i-j+5k`

D

`2i+j+5k`

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The correct Answer is:
A, C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If a + 2b + 3c= 0, then axxb + bxxc+c xxa is equal to

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  2. If veca=4i+6jand vecb=3j+6k vector form of the component of a along b ...

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  3. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  4. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  5. a =hati +hatj-hatk, b = hati -2hatj +hatk, c = hati -hatj-hatk, then a...

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  6. Projection of the vector 2i+3j-2k on the vector i+2j+3k is

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  7. If a = 2i+j+2k, b=5i-3j+k, then orthogonal projection vector of a and ...

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  8. Given two vectors a = 2i -3j+6k, b=2i+2j-k and p = ("the projection of...

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  9. Show that the vector of magnitude sqrt(51) which makes equal anges wit...

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  10. In a parallelopiped the ratio of the sum of the squares on the four d...

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  11. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

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  12. If vec a , vec ba n d vec c are unit vectors, then | vec a- vec b|^2+...

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  13. The modulus of the sum of three mutually perpendicular unit vectors is

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  14. If a + b + c = 0, |a| = 3, |b| = 5, |c| = 7, then the angle between a ...

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

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

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

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

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

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

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