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Show by direction numbers that the points (-2,4,7),(3,-6,-8) and (1,-2,-2) are collinear.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

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  2. Prove that the line through A(0,-1,-1) and B(4,5,1) intersects the lin...

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  3. Show by direction numbers that the points (-2,4,7),(3,-6,-8) and (1,-2...

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  4. Find the equation of the line passing through the points A(-2,4,7), B(...

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  5. Evaluate int (2x+5)dx/(x^2+4x+5)

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  6. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

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  7. Find the angle between the pairs of line with direction ratios lt5,-...

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  8. Find the angle between the pair of lines with directions ratios: <1,1...

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  9. If P,Q are (2,3,-6),(3,-4,5), then find the acute angle that OP makes ...

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  10. Find the angles between each of the following pairs of lines: vecr=4ha...

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  11. Find the angle between the followig pair of lines : (-x+2)/-2=(y-1)/7=...

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  12. Find the angles between each of the following pairs of lines: (x-2)/3=...

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  13. The angle between a line with direction ratios proportional to 2, 2, ...

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  14. Find the angle between the following pair of lines : vecr=hati+hatj-ha...

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  15. Find the angle between the lines whose direction cosines are given by ...

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  16. Find the angle between the lines whose direction cosines are given by ...

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  17. Differentiate the following y=tan(sin(a^x))

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  18. Find the angle of the tirangle ABC whose vertices are A(-1,3,2), B(2,3...

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  19. Find the length of the perpendicular from the point (1,2,3) to the lin...

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  20. Find the perpendicular distance of the point (1,0,0) from the line : (...

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