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If veca=-vecb, is it true that |veca|=|v...

If `veca=-vecb`, is it true that `|veca|=|vecb|`?

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find the sum of the following vectors veca=hati-2hatj,vecb=2hati-3ha...

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  2. Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are col...

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  3. If veca=-vecb, is it true that |veca|=|vecb|?

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  4. If |veca|=|vecb|, is it true that veca=+-vecb?

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  5. If |veca|=|vecb|, is it true that veca=vecb?

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  6. kveca=vec0 gives rise to what alternatives for k and veca ?

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  7. If veca=2hati+3hatj and vecb=3hati+4hatj. Find the magnitude of veca+v...

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  8. For two non-zero vectors veca and vecb, write when |veca+vecb|=|veca|+...

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  9. Vectors drawn from the origin to the point A,B and C are respectively ...

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  10. Give a condition that the three vectors veca,vecb and vecc form the th...

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  11. D,E,F are mid-points of the sides of the triangle ABC, show that for a...

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  12. In pentagon ABCDE, prove that : vec(AB)+vec(BC)+vec(CD)+vec(DE)+vec(EA...

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  13. ABCD is a parallelogram and AC, BD are its diagonals. Show that : vec(...

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  14. ABCDEF is a regular hexagon. Show that : vec(OA)+vec(OB)+vec(OC)+vec(O...

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  15. If ABCDEF is a regular hexagon and AB+AC+AD+AE+AF=lamdaAD, then lamda ...

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  16. ABCDEF is a regular hexagon. Show that : vec(AB)+vec(AC)+vec(AD)+vec(A...

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  17. Prove that |veca|-|vecb| le|veca - vecb |.

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  18. If veca+5vecb=vecc and veca -7 vecb =2vecc, then show that veca has th...

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  19. Write two different vectors having same magnitude.

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  20. Write two different vectors having same direction.

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