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

If `veca`=`2hati-3hatj+4hatk` and `vecb`=`5hati+hatj-hatk` represents sides of a parallelogram then find both diagonals and a unit vector perpendicular to both diagonals of parallelogram.

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The correct Answer is:
`(-hati+22htj+17hatk)`
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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Find the area of the parallelogram whose diagonals are veca=3hati-hatj...

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  2. Find the area of the parallelogram whose diagonals are : veca=hati-2ha...

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  3. If veca=2hati-3hatj+4hatk and vecb=5hati+hatj-hatk represents sides of...

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  4. Find the value of a+b, if the points (2,a,3),(3,-5,b) and (-1,11,9) ar...

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  5. Find the area of the triangle formed by the points A(1,1,1),B(1,2,3) a...

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  6. Find the area of triangle with vertices (1,1,2),(2,3,5),(1,5,5).

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  7. Using vectors find the area of the triangle ABC with vertices A(1,0,3)...

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  8. Find the area of the triangle fonned by the points A (1,2,4), B(3,1,-2...

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  9. Using vectors, find the area of the triangle having vertices A (2, 5, ...

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  10. Using vectors, find the area of the triangle having vertices A (3, 2, ...

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  11. Using vectors find the area of the triangle whose vertices arc (0, 1 ,...

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  12. Using vectors, find the area of triangle whose vertices are (2,1,1),(2...

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  13. If veca+vecb+vecc=vec0 show that vecaxxvecb=vecbxxvecc=veccxxveca. Int...

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  14. If A, B and C are the vertices of a triangle ABC, prove sine formula t...

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  15. In a triangle OAC, if B is the mid point of side AC and vec(OA)=veca,v...

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  16. Find a unit vector parallel to the sum of the vectors hati+hatj+hatk a...

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  17. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  18. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  19. Show that the points (-2,3,5), (1,2,3) and (7,0,-1) are collinear.

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  20. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

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