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Find the unit vector parallel to the res...

Find the unit vector parallel to the resultant vector of `2hati+4hatj-5hatk and hati+2hatj+3hatk`.

A

`(3hati + 6hatj + 2hatk)/(5)`

B

`(-3hati + 6hatj - 2hatk)/(7)`

C

`(3hati + 6hatj - 2hatk)/(7)`

D

none of these

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The correct Answer is:
C
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. If angle between veca = hati - 2hatj + 3hatk and vecb = 2hati + hatj ...

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  2. If veca, vecb,vecc are non-coplanar vectors and lambda is a real numbe...

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

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  4. If the middle points of sides BC, CA and AB of triangle ABC are respec...

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  5. Find the length diagonal AC of a prallelogram ABCD whose two adjacent ...

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  6. If f is the centre of a circle inscribed in a triangle ABC, then |vec...

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  7. Let vec a, vec b and vec c are vectors of magnitude 3,4,5 respectively...

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  8. If veca , vecb , vec c are any three coplanar unit vectors , then :

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  9. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

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  10. Let vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk. I...

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  11. If vectors a=4hat(i)-3hat(j)+6hat(k) and vector b=-2hat(i)+2hat(j)-hat...

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  12. A vector of magnitude 14 lies in the xy-plane and makes an angle of 60...

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  13. If veca,vecb,vec c are unit vectors such that veca+vecb+vec c= vec0 fi...

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  14. The two variable vectors 3xhati+yhatj-3hatk and xhati-4yhatj+4hatk are...

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  15. Angle between the vectors sqrt3(veca xx vec b) " and " vec b - (veca ....

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  16. If the vector veca = (2 ,log3 x ,a ) and vecb = (-3,a log3x,log3x) are...

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  17. If veca , vecb ,vec c are the 3 vectors such that |veca| = 3, |vecb| ...

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  18. The vectors (2hati - mhatj+ 3mk) and {(1 + m) hati -2m hatj + hatk} i...

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  19. Let veca , vecb , vecc be three unit vectors such that |veca + vecb +...

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  20. If veca,vecb and vecc are three vectors of which every pair is non col...

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