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If G is centroid of the triangle ABC,the...

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

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. Find the magnitude: 5/2 and is parallel to the vector 3hati+4hatj.

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

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

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  4. Find veca*(vecaxxvecb).

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  5. Find veci*(veckxxvecj)

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  6. Find veci*(vecjxxveck)

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

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

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

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

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

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

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

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

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

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  16. Write the value of y so that the points (1,y,2),(3,2,-1) and (-4,6,3) ...

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  17. If O be the origin and P is the point (3,4,5),what are the direction c...

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  18. If a line makes angles alpha, beta  and gamma  with the positive direc...

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  19. If the d.cs of a straight line be << 2/7 , 3/7, k/7 >>, then what is t...

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  20. Fill in the blanks in the length of the projection of the line segment...

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