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Find the angle between the vectors with ...

Find the angle between the vectors with direction ratios proportional to `1,-2,1` and `4,3, 2.`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Determine the point in XY-plane which is equidistant from thee poin...

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  20. Find the angle between the lines whose direction cosines are given b...

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