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Three-dimension...

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  • Question 1
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    Find the direction cosines of the side AB of the triangle whose vertices are A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2)

     

  • Question 2
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    If l, m , n are the direction cosines of any line, then sum of the squares of the direction cosines of the line is always ​

     

  • Question 3
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    If a line has the direction ratios -4, 18, -12 then what are its direction cosines?​

     

  • Question 4
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    The direction cosines of the line equally inclined with the axes, are:​

     

  • Question 5
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    If a line makes angles 45 °,150 °, 135 °, with x, y and z-axes respectively, find its direction cosines.

     

  • Question 6
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    Find the equation of the set of points which are equidistant from the points (1, 2 , 3) and (3, 2, -1)​

     

  • Question 7
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    If a line in the ZX-plane makes an angle 60o with Z-axis, the direction cosines of this line are:

     

  • Question 8
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    A line makes angles α, β, γwith the positive directions of X-axis, Y-axis and Z-axis, respectively, then the directions cosines of the line are:

     

  • Question 9
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    The signs of the X,Y and Z coordinates of a point that lies in the octant OXYZ ’is ​

     

  • Question 10
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    If a line in the ZX-plane makes an angle 30o with Z-axis, the direction cosines of this line are:

     

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