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If veca and vecb are two vectors such th...

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

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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Find the values of lamda for which the angle between the vectors veca=...

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  2. If veca and vecb are two unit vectors such that veca+vecb is also a un...

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  3. If veca and vecb are two vectors such that |veca+vecb|=|veca|, then pr...

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  4. Write the projection of the vector 7hati+hatj+4hatk on the vector 2hat...

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  5. If veca=hati+2hatj-hatk, vecb=2hati+hatj+hatk and vecc=5hati-4hatj+3ha...

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  6. Express the veca=5hati-2hatj+5hatk as sum of two vectors such that one...

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  7. Show that the point whose position vectors are veca=4hati-3hatj+hatk,v...

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  8. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  9. If a unit vector veca makes angle (pi)/(4) with hati , (pi)/(3) with ...

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  10. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  11. Dot product of a vector with vectors hati-hatj+hatk,2hatk+hatj+3hatk a...

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  12. If veca+vecb+vecc=vec0 and |veca|=3,|vecb|=5,|vecc|=7, show that the a...

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

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

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  15. If veca,vecb,vecc are three vectors such that : |veca|=5,|vecb|=12 and...

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  16. If with reference to the right handed system of mutually perpendicular...

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  17. Using vectors, prove that a parallelogram whose diagonals are equal is...

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  18. For any vector veca the value of (vecaxxhati)^(2)+(vecaxxhatj)^(2)+(ve...

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  19. Find a unit vector perpendicular to the plane of triangle ABC where th...

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  20. Find a unit vector perpendicular to each of the vectors (veca+vecb) an...

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