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If veca and vecb are non colinear vector...

If `veca and vecb` are non colinear vectors, then the value of `alpha` for which the vectors `vecu=(alpha-2)veca+vecb and vecv=(2+3alpha)veca-3vecb` are collinear is (A) `3/2` (B) `2/3` (C) `(-3)/2` (D) `(-2)/3`

A

`3/2`

B

`2/3`

C

`-3/2`

D

`-2/3`

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The correct Answer is:
B
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. If veca =hati + hatj - hatk, vecb = 2hati + 3hatj + hatk and vec c = h...

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  2. If hat(i)+hat(j), hat(j)+hat(k), hat(i)+hat(k) are the position vector...

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  3. If veca and vecb are non colinear vectors, then the value of alpha for...

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  4. If angle between veca = hati - 2hatj + 3hatk and vecb = 2hati + hatj ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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