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If vec a=2hati+hatj, vec b=hatk what is ...

If `vec a=2hati+hatj`, `vec b=hatk` what is `vec a.vec b`?

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`vec a.vec b=(2hati+hatj).hatk = 0`
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If vec a = 2 hat i + hat j , vec b = - hat i + 2 hat k , vec c = 2 hat i + hat k . find vec a ×(vec b × vec c) and also verify the formula vec a ×(vec b× vec c)=(vec a . vec c)vec b - (vec a . vec b)vec c .

if vec = 2hati+hatj-hatk, vecb = -hati+2hatj-4hatk, vecc = hati+hatj+hatk , find (vecaxxvecb).(vecaxxvecc) .

MODERN PUBLICATION-VECTOR-EXERCISE
  1. Correct the error if any : A null vector has no direction.

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  2. Is (vec a.vec b)vec c a vector quantity.

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  3. If vec a=2hati+hatj, vec b=hatk what is vec a.vec b?

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  4. If vec a=2hati+hatj, vec b=hatk what is vec a.vec b?

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  5. In each of the problems given below, find the work done by a force vec...

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  6. If |k vec a| = 1 then the value of k = .

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  7. If vec a × vec b = hat n then what is the angle between vec a and vec ...

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  8. Can dot product of two non-zero vectors be zero?

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  9. What is the value of [i+j] along [3i+4j].

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  10. If vec a = 2i+3j-6k and vec b = prop hati-hatj+2khat are parallel then...

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  11. If 2i-j+k and i-3j-5k and 3i-4j-4k form a triangle, what type of trian...

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  12. If (-3,tau,1) | (1,0,3) then tau = .

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  13. If on action of force f=2i+j-k, a prticle displaced from A (0,1,2) to ...

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  14. If (vec a + vec b).(vec a - vec b) = 0 then what is the relation betwe...

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  15. A vector perpendicular to the vectors hati+hatj and hati+hatk is

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  16. If vec a, vec b, vec c are unit vectors and vec a + vec b + vec c = 0 ...

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  17. Are three points with position vectors vec a + vec b, vec a - vec b an...

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  18. Find the unit vector perpendicular to i + j and i + k.

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  19. If vec a × vec b = vec b × vec c != 0, Prove that vec a + vec c = m ve...

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  20. Let vec a is any vector than what is the value of (vec a.hat i)hat i+(...

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