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If veca,vecb,veccare coplanar,prove that...

If `veca,vecb,vecc`are coplanar,prove that `veca+vecb,vecb+vecc,vecc+veca`are coplanar.

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A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Show that the four points with position vectors4overset^^i+8overset^^j...

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  2. Find x such that the four points A(3,2,1)B(4,x,5),C(4,2,-2)and D(6,5-1...

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  3. If veca,vecb,veccare coplanar,prove that veca+vecb,vecb+vecc,vecc+veca...

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  4. Find the volume of the following parallelo-piped whose the coterminal ...

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  5. Find the volume of the following parallelo-piped whose the coterminous...

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  6. Find the value of lambdaif the points. A(-1,4,-3),B(3, lamda,-5),C(-3,...

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  7. Write down a unit vector in XY plane making an angle of 30^@ with the...

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  8. Find the scalar components and magnitude of the vector joining the poi...

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  9. A girl walks 4km towards west, then she walks 3 km in a direction 30^@...

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

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  11. Find the value of x for which x(overset^^i+overset^^j+overset^^k) is a...

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  12. Find a vector of magnitude 5 units and parallel to the resultant of th...

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  13. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7)are collinear and...

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  14. Find the position vector of a point R which divides the line joining t...

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  15. The two adjacent sides of a parallelogram are 2overset^^i-4overset^^j+...

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  16. Show that the direction cosines of a vector equally inclined to the ax...

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  17. Let" "veca=overset^^i+4overset^^j+2overset^^k, vecb=3overset^^i-2overs...

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  18. The scalar product of the vector overset^^i+overset^^j+overset^^k with...

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  19. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  20. Prove that (veca+vecb).(veca+vecb)=|veca|^2+|b|^2 if and only if veca...

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