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If A, B, C and D are the vertices of a s...

If A, B, C and D are the vertices of a square, find `vec(AB) + vec(BC)+ vec(CD) + vec(DA)`.

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. Find the value of 'a' do the which the pointA,B,C with position vector...

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  2. find the unit vector in the direction of 'PQ' where P and Q are the po...

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  3. If A, B, C and D are the vertices of a square, find vec(AB) + vec(BC)+...

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  4. If vec(OP1)=4hati+3hatj and vec(OP2)=8hati-5hatj find vec(p1p2)

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  5. If A, B, C and D are the vertices of a square, find vec(AB) + vec(BC)+...

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  6. Find the magnitude: 5/2 and is parallel to the vector 3hati+4hatj.

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  7. Find the vector from the origin O to the centroid of the triangle whos...

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  8. If G is centroid of the triangle ABC,then find vec(GA)+vec(GB)+vec(GC)...

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  9. Find veca*(vecaxxvecb).

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  10. Find veci*(veckxxvecj)

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  11. Find veci*(vecjxxveck)

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  12. find the position vector of the mid point of the vector joining the p...

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  13. Evaluate:hatixx(hatjxxhatk)+hatjxx(hatkxxhati)+hatkxx(hatixxhatj)

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  14. Using vector method find the area of the triangle with vertices (1, 0,...

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  15. What is the distance of the point (4, 5, -3) from y-axis ?

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  16. What is the distance of point (1,2,3,)from yz-plane?

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  17. What is the distance of the point (x, y, z) from x-axis?

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  18. Find the image of the point (5,3,-2)w.r.t yz-plane.

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  19. Find the number of points (x, y, z) in space other than the point (1,-...

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  20. Find the ratio in which the line segment through (1,3,-1) and (2,6,-2)...

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