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If the position vectors of the points A and B are `hati+3hatj-hatk and 3hati-hatj-3hatk`, then what will be the position vector of the mid-point of AB

A

`hati+2hatj-hatk`

B

`2hati+hatj-2hatk`

C

`2hati+hatj-hatk`

D

`hati+hatj-2hatk`

Text Solution

Verified by Experts

The correct Answer is:
B
`(3hati-hatj-3hatk+hatj+3hatj-hatk)/(2)=2hati+hatj-2hatk`.
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. Find the position vector of the point which divides the join of the po...

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  2. If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . ...

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  3. If the position vectors of the points A and B are hati+3hatj-hatk and ...

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  4. The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3ha...

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  5. If the vector vecb is collinear with the vector vec a ( 2sqrt2,-1,4) a...

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  6. If vec a , vec b are the position vectors of the points (1,-1),(-2,m)...

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  7. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

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  8. The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk ...

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  9. If the points a+b,a-b and a+kb be collinear, then k is equal to

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  10. If the position vectors off A,B,C and D are 2hati+hatj,hati-3hatj,3hat...

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  11. If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...

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  12. If a and b are two non collinear vectors; then every vector r coplanar...

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  13. Four non-zero vectors will always be

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  14. The vectors a,b and a+b are

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  15. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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  16. The number of integral values of p for which (p+1) hati-3hatj+phatk, p...

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  17. If the vectors AB=3hati+4hatk and AC=5hati-2hatj+4hatk are the sides o...

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  18. In the figure, a vectors x satisfies the equation x-w=v. then, x is eq...

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  19. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

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  20. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

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