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If position vector of points A,B and C a...

If position vector of points A,B and C are respectively `hati,hatj, and hatk` and `AB=CX`, then position vector of point X is

A

`-hati+hatj+hatk`

B

`hati-hatj+hatk`

C

`hati+hatj-hatk`

D

`hati+hatj+hatk`

Text Solution

Verified by Experts

The correct Answer is:
A
`AB=Cx implies hatj-hati`= position vecto of point `X-hatk`
`therefore`Position vector of point `X=-hati+hatj+hatk`.
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. The position vectors of the points A,B and C are hati+2hatj-hatk,hati+...

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  2. The position vectors of P and Q are 5hati+4hatj+ahatk and -hati+2hatj-...

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  3. If position vector of points A,B and C are respectively hati,hatj, and...

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  4. The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+...

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  5. If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2...

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  6. If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-2hat...

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  7. If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hat...

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  8. The direction cosines of vector a=3hati+4hatj+5hatk in the direction o...

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  9. The direction cosines of the vector 3hati-4hatj+5hatk are

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  10. The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk ...

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  11. If the position vectors of the vertices A,B and C of a DeltaABC are 7h...

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  12. If a,b and c are the position vectors of the vertices A,B and C of the...

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  13. If a and b are position vector of two points A,B and C divides AB in r...

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  14. Find the position vector of the point which divides the join of the po...

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

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

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

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

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

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

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