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If vecr=xhati+yhatj+zhatk, find : (vecrx...

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

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If vecr=xhati+yhatj+zhatk , find : (hatrxxhati)*(hatrxxhatj)+xy .

If veca=xhati + y hatj + zhatk, vecb= yhati + zhatj + xhatk and vecc= zhati + xhatj+ yhatk , " then " vecaxx (vecbxx vecc) is (a)parallel to ( y- z) hati + (z - x) hatj + (x -y) hatk (b)orthogonal to hati + hatj + hatk (c)orthogonal to ( y+z) hati + ( z + x) hatj + ( x + y) hatk (d)orthogonal to xhati + yhatj + zhatk

If veca= x hati+yhatj+zhatk, vecb= yhati+zhatj+xhatk, vecc=zhati+xhatj+yhatk , then vecaxx(vecbxxvecc) is :

Find the acute angle between the planes vecr.(hati+2hatj-hatk)=3 and vecr.(2hati-hatj+2hatk)=2 .

Find the vector equation of the line passing through (1, 2, 3) and parallel to each of the planes vecr = (hati-hatj+2 hatk)= 5" and "vecr *(3hati- hatj+hatk)= 6 . Also find the point of intersection of the line thus obtained with the plane vecr * (2hati-hatj+hatk)= 4 .

If veca=xhati+2hatj-zhatk and vecb=3hati-yhatj+hatk are equal vectors. Write the value of x+y+z .

Find the values of x,y and z so that the vectors : veca=xhati+2hatj+zhatk and vecy=2hati+yhatj+hatk are equal.

Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vecr*(3hati-3hatj+5hatk)=3

In the electric field vecE = 3x hati - 2y hatj + 5zhatk , find the potential difference between the ponts A(1,3,5) and B(3,2,7)

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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