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

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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
  1. Find the acute angle between the lines whose direction ratios are p...

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  2. Show that the line joining the origin to the point (2,1,1) is perpe...

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  3. Find the angle between the lines whose direction ratios are proport...

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  4. Find the angle between the vectors whose direction cosines are prop...

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  5. Find the angle between the vectors with direction ratios proportion...

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  6. Show that the line through points (4,7,8) and 2,3,4) is parallel to...

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

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  8. Find the direction cosines of the lines, connected by the relations...

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  9. Find the direction cosines of the two lines which are connected by t...

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  10. A line makes angles alpha,""""beta,""""gamma and delta with the ...

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  11. Show that the straight lines whose direction cosines are given by th...

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  12. If a variable line in two adjacent positions has direction cosins l ...

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  13. If the edges of a rectangular parallelepiped are a ,b ,c prove that th...

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  14. If three mutually perpendicular lines have direction cosines (l1,m1,n...

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  15. Find the direction cosines of the sides of the triangle whose verti...

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  16. Prove that the straight lines whose direction cosines are given by ...

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  17. The x-coordinates of a point on t line joining the points Q(2,2,1)a...

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  18. Given that P(3,2,-4),Q(5,4,-6)a n dR(9,8,-10) are collinear. Find the ...

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  19. Find the coordinates of the foot of the perpendicular drawn from th...

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  20. Find the angle between the vectors with direction ratios proportion...

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