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Find the direction cosines of the line w...

Find the direction cosines of the line whose direction ratio are a-b,b-c,c-a

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To find the direction cosines of the line whose direction ratios are given as \( a-b, b-c, c-a \), we can follow these steps: ### Step 1: Identify the Direction Ratios The direction ratios given are: - \( l = a - b \) - \( m = b - c \) - \( n = c - a \) ...
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STATEMENT-1 : The angle between the lines whose direction ratios are (1, 2, 3) and (-12, 3, 2) is 90^(@) STAEMENT-2 : The direction cosines of a line whose direction ratios are (3, 4, 12) are (3/13, 4/13, 12/13) . STATEMENT-3 : If cosalpha, cosbeta,cosgamma are the direction cosines of a line then sin^(2)alpha + sin^(2)beta +sin^(2)gamma = 2.

MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF THREE DIMENSIONS-QUESTION BANK
  1. Find the co-ordinates of the point which divides the join of (5,8,-3) ...

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  2. In what ratio does the origin divides the line segment joining the poi...

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  3. Find the co-ordinates of the centroid of the triangle whose vertices a...

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  4. Find the point of intersection of the medians of the triangle whose ve...

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  5. Find the lengths of the medians of the triangle whose vertices are A(2...

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  6. Can there be any line which makes angles 30^@,45^@ and 60^@ with the c...

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  7. If a line makes angles 60^@ and 135^@ respectively with x and y axes f...

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  8. If a line makes angles alpha, beta and gamma with the co-ordinate axes...

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  9. Find the direction cosines of the line whose direction ratio are 2,-4,...

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  10. Find the direction cosines of the line whose direction ratio are sqrt3...

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  11. Find the direction cosines of the line whose direction ratio are a-b,b...

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  12. If a line make angle 30^@ and 60^@ with the x and y axes, what angles ...

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  13. Find the direction ratios and direction cosines of the lines joining t...

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  14. Find the direction ratios and direction cosines of the lines joining t...

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  15. Find the angle between the following pair of lines whose direction rat...

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  16. Find the angle between the following pair of lines whose direction rat...

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  17. Show that the line joining the points (1,2,3) and (4,5,7) is parallel ...

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  18. For what value of x will the line joining the points (x,6,-3),(5,3,2)w...

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  19. A (6,3,2),B(4,1,4),C(3,-4,7) and D(0,2,5) are four given points. Find ...

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  20. For that value of a will be the numbers 1/sqrt2,a,1/sqrt3 be the direc...

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