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For any vector veca the value of (vecaxx...

For any vector `veca` the value of `(vecaxxhati)^(2)+(vecaxxhatj)^(2)+(vecaxxhatk)^(2)` is equal to

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The correct Answer is:
`2a^(2)`
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If veca is any vector, then show that veca=(veca.hati)hatj+(veca.hatj)hatj+(veca.hatk)hatj .

The scalar product of the vector veca=hati+hatj+hatk with a unit vector along the sum of vectors vecb=2hati+4hatj-5hatk and vecc=lambdahati+2hatj+3hatk is equal to one. Find the value of 'lambda' and hence find the unit vector along vecb+vecc .

If veca" and "vecb are any two vectors, then (veca xx vecb)^(2)= |veca|^(2)|vecb|^(2)-(veca* vecb)^(2) .

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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Dot product of a vector with vectors hati-hatj+hatk,2hatk+hatj+3hatk a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Using vectors find the area of the triange ABC with vertices A(1,2,3),...

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  17. If vecaxxvecb=veccxxvecdand vecaxxvecc=vecbxxvecd, show that veca-vecd...

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  18. If veca=hati+hatj+hatk and vecb=hatj-hatk, find a vector vecc such tha...

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

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  20. If vecr=xhati+yhatj+zhatk, find : (vecrxxhati)*(vecrxxhatj)+xy.

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