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

If veca = vecb + vecc , then is it true that |veca| = |vecb| + |vecc| ? Justify your answer.

If |veca|=a and |vecb|=b , prove that ((veca)/(a^2)-(vecb)/(b^2))^2=((veca-vecb)/(ab))^2 .

State whether it is true or false If veca, vecb are two vectors then |veca.vecb|le|veca||vecb|

State wheter is true or false: If veca,vecb be two vectors then |veca + vecb| is |veca| + |vecb|

If |veca+vecb|=|veca-vecb| then show that veca and vecb are perpendicular.

If veca and vecb are two vectors such that |veca+vecb|=|veca| , then prove that the vector 2veca+vecb is perpendicular to vector vecb .

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , then the value of veca.vecb+vecb.vecc+vecc.veca is

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

If |veca|=|vecb|=|vecc|=1 and veca*vecb=vecb*vecc=vecc*veca=1/2 , then the value of 4[veca vecb vecc]^2 is:

MODERN PUBLICATION-VECTORS-Exercise
  1. If veca=-vecb, is it true that |veca|=|vecb|?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Write two different vectors having same magnitude.

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  18. Write two different vectors having same direction.

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  19. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5ha...

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  20. Find the vector with initial point P(-4,2) and terminal point Q(0,-4).

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