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Find the angle between the vectors with ...

Find the angle between the vectors with direction ratios proportional to `4,-3,5a n d3,4,5.`

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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
  1. Show that the centroid of the triangle with vertices A(x1,\ y1,\ z1...

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

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

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  4. "P"(6," "3," "2)," Q"(5," "1," "3)"andR"(3," "3," "5) are three vert...

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  5. Find the direction cosines of the line which is perpendicular to the...

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  6. If ,"l"1,"m"1,("\ n")1("\ and\ l")2,"m"2,"n"2 be the direction cosi...

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  7. If ,"l"1,"m"1,("\ n")1("\ and\ l")2,"m"2,"n"2 be the direction cosi...

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  8. The angel between the two diagonals of a cube is a. 30^0 b. 45^0 c. ...

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  9. If a line makes angle 90o, 60oand 30owith the positive direction of ...

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  10. if a line has direction ratio 2,-1,-2,determine its direction cosine

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  11. Find the direction cosines of the line passing through two points

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  12. Using direction ratios show that the points A(2,3,-4), B(1,-2,3) an...

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

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  14. Find the angel between the vectors with direction ratios proportion...

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  15. Find the acute angle between the lines whose direction ratios are p...

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  16. Show that the points (2,3,4),(-1,-2,1),(5,8,7) are collinear.

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

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

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

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  20. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

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