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If veca, vecb,vecc are non-coplanar vect...

If `veca, vecb,vecc` are non-coplanar vectors and `lambda` is a real number then then vectors `veca+2vecb+3vec c , lambdavecb+4 vec c` and `(2lambda-1)vecc` are non-coplanar for

A

no value of `lamda`

B

all except one value of `lamda`

C

all except two values of `lamda `

D

all values of `lamda `

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The correct Answer is:
C
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. If veca and vecb are non colinear vectors, then the value of alpha for...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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