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If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk...

If `a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj`, then the unit vector along its resultant is

A

`3hati+5hatj+4hatk`

B

`(3hati+5hatj+4hatk)/(50)`

C

`(3hati+5hatj+4hatk)/(5sqrt(2))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`R=3hati+5hatj+4hatk`
`impliesR=(3hati+5hatj+4hatk)/(5sqrt(2))`.
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
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  3. If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj, then the un...

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

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

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

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

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

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

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

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

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

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

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

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

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