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If veca+5vecb=vecc and veca -7 vecb =2ve...

If `veca+5vecb=vecc` and `veca -7 vecb =2vecc`, then show that `veca` has the same direction as that of `vecc` and opposite direction to that of `vecb`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. ABCDEF is a regular hexagon. Show that : vec(AB)+vec(AC)+vec(AD)+vec(A...

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

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

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  4. Write two different vectors having same magnitude.

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  5. Write two different vectors having same direction.

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

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

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  8. Find a unit vector in the direction from : P(3,2) towards Q(5,6).

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  9. Find a unit vector in the direction from : P(1,2) towards Q(4,5).

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  10. Compute the magnitude of the following vectors: vecc=(1/sqrt3)veci+(1/...

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  11. Find the magnitude of the vector hati-3hatj+4hatk.

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  12. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

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  13. Find the unit vector in the direction of the vector veca=hati+hatj+2ha...

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  14. Find the unit vector in the direction of the vector : veca =2hati+3hat...

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  15. Find the unit vector in the direction of the vector : veca =3hati+2hat...

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  16. Find the unit vector in the direction of the vector : vecb =2hati+hatj...

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  17. Find the unit vector in the direction of the vector : veca =2hati-3hat...

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  18. Find the unit vector in the direction of vector vec(PQ, where P and Q ...

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  19. Find the values of x and y so that the vectors 2veci+3vecj and xveci+y...

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  20. Find the values of x,y and z so that the vectors : veca=xhati+2hatj+zh...

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