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Find the coordinates of the centroid of a triangle the mid points of whose sides are (1,2,-3), (3,0,1) and (-1,1,-4)

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. The mid-points of the sides of a triangle are (5,7,11),(0,8,5) and (2,...

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  2. Two vertices of a traingle are (2,-6,4) and (4,-2,3) and its centroid ...

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  3. Find the coordinates of the centroid of a triangle the mid points of w...

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  4. A (3, 2, 0), B(5, 3, 2), C(- 9, 6, -3) are three points forming a tria...

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  5. Calculate the cosine of the angle A of the triangle with vertices A(1,...

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  6. The direction ratios of a vector are <1,-3,-2>, find its direction cos...

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  7. Find the direction cosines of the vectors: 2hati+2hatj-hatk

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  8. Find the direction cosines of the vectors: 6hati-2hatj-3hatk

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  9. Find the direction cosines of the vectors: 3hati+4hatk

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  10. Find the direction cosines of the vectors: hatk

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  11. Find the angles at which the following vectors are inclined to each of...

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  12. Find the angles at which the following vectors are inclined to each of...

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  13. Find the angles at which the following vectors are inclined to each of...

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  14. Find the angles at which the following vectors are inclined to each of...

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  15. Can a vector have direction angles 45^@, 60^@ and 120^@?

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  16. A line makes angles 45^@ and 60^@ with the positive direction of the a...

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  17. If a line makes angles 90^(@),60^(@) and 30^(@) with the positive dire...

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  18. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find the ...

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  19. A vector vecr has length 14 and direction numbers <2,6,-3>. Find the d...

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  20. A vector vecv is inclined at equal angles to the positive directions o...

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