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If veca and vecb are two collinear vect...

If `veca` and `vecb` are two collinear vectors, then which of the following are incorrect:

A

`vecb=lambdaveca` for some scalar `lambda`

B

`veca=+-vecb`

C

the respective component of `veca` and `vecb` are proportional

D

both the vectors `veca` and `vecb` have the same direction, but different magnitudes.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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  2. In triangle ABC, which of the following is not true :

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  3. If veca and vecb are two collinear vectors, then which of the followi...

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  4. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  5. Find the angle between the vectors veca=hati-2hatj+3hatk and vecb=3hat...

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  6. Find the projection of the vector hati + hatj on the vector hati -hatj

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  7. Find the projection of the vector hati+3hatj+7hatk on the vector 7hati...

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  8. Show that each of the given three vectors is a unit vector : 1/7(2hati...

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  9. Find |veca| and |vecb|, if (veca+vecb)*(veca-vecb)=8 and |veca|=8|vecb...

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  10. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

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  11. Find the magnitude of two vectors veca and vecb, having the same magni...

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  12. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

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  13. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

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  14. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

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  15. If veca*veca=0 and veca*vecb=0, then what can be concluded about the v...

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  16. If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0, find...

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  17. If either vector veca=vec0 or vecb=vec0, then veca*vecb=vec0. But the ...

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  18. If the vertices A, B, C of a triangle ABC are (1,2,3), (-1,0,0), (0,1,...

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  19. Show that the points A(1,2,7), B(2,6,3) ਅਤੇ C(3,10,-1) are collinear.

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  20. Using vector method, show that the points whose position vectors are ,...

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