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The unit vector parallel to the resultan...

The unit vector parallel to the resultant of the vectors `vecA=4hati+3hatj+5hatk` and `vecB=-hati+3hatj-8hatk` is :

A

`(1)/(2) [3hati+6hatj-2hatk]`

B

`(1)/(7)[3hati+6hatj+2hatk]`

C

`(1)/(49)[3hati+6hatj+2hatk]`

D

`(1)/(49)[3hati+6hatj-2hatk]`

Text Solution

Verified by Experts

The correct Answer is:
A
`vecR=vecA+vecB=3hati+6hatj-2hatk`
Unit vector parallel to `vecR` is `(vecR=3hati+6hatj-2hatk)/sqrt(3^(2)+6^(2)+2^(2))`
`=(1)/(7)(3hati_6hatj-2hatk)`
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ALLEN-BASIC MATHS-EXERCISE-1
  1. Two vectors vecA and vecB are such that vecA+vecB=vecA-vecB. Then

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  2. The angle between (vecAxxvecB) and (vecBxxvecA) is (in radian)

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  3. The unit vector parallel to the resultant of the vectors vecA=4hati+3h...

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  4. A vector vecA points vertically upward and vecB points towards north. ...

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  5. Which of the following sets of concurrent force may be in equilibrium?

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  6. Two vectors, both equal in magnitude, have their resultant equal in ma...

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  7. A force (3hati+4hatj) newton acts on a boby and displaces it by (3hati...

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  8. The vector vecP=ahati+ahatj+3hatj and vecQ=ahati-2hatj-hatk, are perpe...

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  9. The vector sum of two forces is perpendicular to their vector differen...

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  10. Three vectors veca,vecb and vecc satisfy the relation veca.vecb=0 and ...

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  11. The direction of the angular velocity vector is along

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  12. What is the projection of 3hati+3hatj+8hatk) is perpendicular to the v...

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  13. If a vector (2hati+3hatj+ 8hatk) is perpendicular to the vector (4hatj...

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  14. Square of the resultant of two forces of equal magnitude is equal to t...

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  15. The vector vecA and vecB are such that |vecA+vecB|=|vecA-vecB|. The an...

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  16. If |hatAxxvecB|=sqrt(3)vecA,vecB, then the value of |vecA+vecB| is :

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  17. if|vecAxxvecB|=|vecA.vecB|, then angle between vecA and vecB will be

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  18. A unit radial vector vecr makes agles of a=30^(@) relative to the x-ax...

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  19. If hati,hatj and hatk represent unit vectors along the x,y and z-axes ...

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  20. Find the torque (vectau=vecrxxvecF) of a force vecF=-3hati+hatj+3hatk ...

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