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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
- If a line makes angles. 90^@, 60^@, 30^@ with the x, y and z axes resp...
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- If a line has direction ratios '2,-1,-2', determine direction cosines.
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- Find the direction cosines of the line passing through the followin...
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- Find the direction cosines of x, y and z -axis
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- Show that the points 'A(2,3,-4), B(1,-2 , 3)' and 'C(3,8,-11)' are col...
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- If a lne makes angles. 90^@, 135^@, 45^@ with the x,y and Z−axes resp...
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- Find the direction cosines of a line which makes equal angles with ...
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- If a line has the direction ratios '-18,(12) ,-4', then what are its d...
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- Show that the points (2, 3, 4), (-1, -2, 1), (5, 8, 7) are collinea...
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- Find the direction cosines of the sides of the triangle whose vertices...
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- Find the vector and Cartesian equations of the line through the point ...
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- Find the vector equation for the line passing through the points (1, 0...
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- The Cartesian equation of a line is (x+3)/2=(y-5)/4=(z+6)/2. Find th...
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- Find the angle between the pair of lines given by barr=3 hati+2 hatj...
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- find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4 and (...
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- Find the shortest distance between the lines l1 and l2 barr=hati+hatj+...
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- Find the distance between the lines l1 and l2, given by barr=hati+2 h...
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- Show that the three lines with direction cosines (12)/(13),(-3)/(13),(...
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- Show that the line through the points (1, -1, 2) and (3, 4,-2) is p...
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- Show that the line through the points (4, 7, 8), (2, 3, 4)is parallel...
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