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Find a vector of magnitude 5 units, and ...

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors `veca = 2hati + 3hatj - hatk` and `vecb = hati-2hatj+hatk`

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The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb=hati+2hatj+hatk is :

Find the angle between the vectors : veca=3hati-2hatj+hatk and vecb=hati-2hatj-3hatk .

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Find the unit vector in the direction of the sum of the vectors, veca = 2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

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MODERN PUBLICATION-VECTORS-Exercise
  1. If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...

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  2. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

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

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

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  5. Show that the points A(1,-2,-8), B(5,0,-2) and C(11,3,7) are collinear...

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  6. Find the position vector of a point R which divides the line joining t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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