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The scalar product of the vector hati+ha...

The scalar product of the vector `hati+hatj+hatk` with a unit vector along the sum of vectors ` 2hati+4hatj-5hatk`and `lambdahati+2hatj+3hatk` is equal to one. Find the value of `lambda`.

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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Express the veca=5hati-2hatj+5hatk as sum of two vectors such that one...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Find a vector of magnitude sqrt(171), which is perpendicular to both o...

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  17. Find a vector of magnitude 5 units, perpendicular to each of the vecto...

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  18. Find the area of a parallelogram whose adjacent sides are represented ...

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  19. If veca=2hati-3hatj+hatk, vecb=hati+hatk, vecc=2hatj-hatk are three ve...

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  20. With help of vectors find the area of the triangle with vertices A(2,3...

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