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Find a unit vector perpendicular to both...

Find a unit vector perpendicular to both the vectors `(3 hat i + 2 hat j - hat k)` and `( hat i + 2 hat j + hat k)` .

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JMD PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. If veca and vecb are two vectors such that |\veca.vecb|=|\vecaxxvecb|,...

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  2. Find the angle between two vectors veca and vecb with magnitudes 1 and...

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  3. Find the value of p if (2hati+6hatj+27hatk)xx(hati+3hatj+phatk)=vec0...

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  4. For what value of 'a' the vectors 2hati-3hatj+4hatk and ahati+6hatj-8h...

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  5. Find the angle between the vectors veca=hati-hatj+hatk and vecb=hati+h...

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  6. Determine the area of the parallelogram whose adjacent sides are 2 hat...

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  7. P and Q are two points with position vectors 3veca-3vecb and veca+vecb...

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  8. Find a unit vector perpendicular to both the vectors (3 hat i + 2 hat ...

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  9. Find a vector of magnitude 8, which is perpendicular to both the vecto...

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  10. If veca=3hati+2hatj+2hatk and vecb=hati+2hatj-2hatk, then find a unit ...

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  11. Find the area of parallelogram whose adjacent sides are given by the v...

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  12. Find the area of parallelogram whose diagnolas are 2hati+3hatj+ 6hatk ...

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

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  14. If two vectors veca and vecb are such that |\veca|=3,|\vecb|=2 and vec...

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  15. If veca and vecb are perpendicular vectors, |veca+vecb|=13, |veca|=5 t...

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  16. Find x for which the angle between the vectors veca=2x^2hati+4xhatj+ha...

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  17. Find veca.(vecbxxvecc), if veca=2hati+hatj+3hatk,vecb=-hati+2hatj+hatk...

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

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  19. If veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk, then find |\vecax...

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  20. Find lambda, if the vectors veca=hati+3hatj+hatk,vecb=2hati-hatj-hatk ...

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