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The two adjacent sides of a parallelogra...

The two adjacent sides of a parallelogram are given by the vectors `2hati-4hatj+5hatk` and `hati-2hatj-3hatk` Find a unit vector parallel to its diagonal (longer). Also find the area of parallelogram.

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MODERN PUBLICATION-VECTORS-Exercise
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  2. Find the position vector of a point R which divides the line joining t...

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  3. The two adjacent sides of a parallelogram are given by the vectors 2ha...

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  4. Show that the direction cosines of a vector equally inclined to the ax...

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

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

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

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  8. Prove that (veca+vecb) cdot (veca+vecb) = |veca|^2 + |vecb|^2, if and ...

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  9. If theta is the angle between two vectors veca and vecb, then veca c...

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  10. Let veca and vecb be two unit vectors and theta is the angle between t...

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  11. The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...

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  12. If theta is the angle between two vectors veca and vecb, then |veca*ve...

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  13. Using vectors, find the value of 'k' such that the points (k,-10,3),(1...

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  14. If A,B,C,D are the points with position vectors : hati+hatj-hatk,2hati...

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  15. Parallelogram on equal bases and between the same parallels are equal ...

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  16. Write all the unit vectors in XY-plane.

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  17. Write down a unit vector in XY-plane, making an angle of 30^o with the...

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

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  19. If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...

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  20. If veca=2hati-hatj+hatk,vecb=hati+3hatj-hatk,vecc=-2hati+hatj-3hatk an...

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