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Find the angle between the lines whose d...

Find the angle between the lines whose direction ratios are a, b, c and b-c, c-a, a-b

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Show that the line joining the origin to the point (2, 1, 1) is perpen...

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  2. If l1, m1, n1 and l2, m2, n2 are the direction cosines of two mutually...

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  3. Find the angle between the lines whose direction ratios are a, b, c an...

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  4. Find the equation of a line parallel to x-axis and passing through the...

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  5. If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (...

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  6. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-1)/(1)=...

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  7. Find the vector equation of the line passing through (1, 2, 3) and per...

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  8. Write the vector equations of the plane throught the point (a,b,c) and...

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  9. Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+l...

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  10. Find the coordinates of the points where the line through (5,1,6) and ...

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  11. Find the coordinates of the point where the line through (5,1,6) and (...

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  12. Find the coordinates of the point where the line through (3, – 4, – 5)...

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  13. Find the equation of the plane passing through the point (1,1,-1) and ...

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  14. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr*...

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  15. Find the equation of the plane passing through the line of intersectio...

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  16. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

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  17. Find the equation of the plane which contains the line of intersection...

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  18. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  19. Find the vector equation of the line passing through (1, 2, 3) and par...

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  20. Find the equations of the straight line passing through the point (1, ...

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