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The position vectors of the points A,B a...

The position vectors of the points A,B and C are `hati+2hatj-hatk,hati+hatj+hatk and 2hati+3hatj+2hatk`, respectively. If A is chosen as the origin, then the position vectors of B and C are

A

`hati+2hatk,hati+hatj+3hatk`

B

`hatj+2hatk,hati+hatj+3hatk`

C

`-hatj+2hatk,hati--hatj+3hatk`

D

`-hatj+2hatk,hati+hatj+3hatk`

Text Solution

Verified by Experts

The correct Answer is:
D
`OA=hati+2hatj-hatk,OB=hati+hatj+hatk`
and `OC=2hati+3hatj+2hatk`
Position vector of B w.r.t. origin at A at
`AB=OB-OA=-hatj+2hatk`
Position vector of C w.r.t. origin at A is
`AC=OC-OA=hati+hatj+3hatk`.
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. In the DeltaABC,AB=a,AC=c and BC=b, then

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  2. If O is origin annd the position vector fo A is 4hati+5hatj, then unit...

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  3. The position vectors of the points A,B and C are hati+2hatj-hatk,hati+...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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