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If a=2hati+5hatj and b=2hati-hatj, then ...

If `a=2hati+5hatj and b=2hati-hatj`, then the unit vector along a+b will be

A

`(hati-hatj)/(sqrt(2))`

B

`hati+hatj`

C

`sqrt(2)(hati+hatj)`

D

`(hati+hatj)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
`a+b=4hati+4hatj`.
Therefore, unit vector`=(4(hati+hatj))/(sqrt(32))=(hati+hatj)/(sqrt(2))`
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. What should be added in vector a=3hati+4hatj-2hatk to get its resultan...

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  2. If a=2hati+2hatj-8hatk and b=hati+3hatj-4hatk, then the magnitude of a...

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  3. If a=2hati+5hatj and b=2hati-hatj, then the unit vector along a+b will...

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  4. Find the unit vector parallel to the resultant vector of 2hati+4hatj-5...

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  5. If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj, then the un...

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  6. If a=(2,5) and b=(1,4), then vector parallel to (a+b) is

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  7. In the DeltaABC,AB=a,AC=c and BC=b, then

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

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

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

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

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

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

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

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

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

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

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

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

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

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