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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
- Write the sum of intercepts cut off by the plane vecr*(2hati+hatj-hatk...
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- If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis re...
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- Find the direction cosines of a line which makes equal angles with the...
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- If a line has the direction ratios –18, 12, – 4, then what are its dir...
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- Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear...
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- Find the direction cosines of the sides of the triangle whose vertices...
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- show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...
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- Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...
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- Show that the line through the points (4,7,8) and (2,3,4) is parallel ...
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- Find the equation of the line which passes through the point (1, 2, 3)...
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- Find the equation of the line in vector and in cartesian form that pas...
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- Find the cartesian equation of the line which passes through the point...
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- The cartesian equation of a line is (x-5)/3 = (y+4)/7 = (z-6)/2. Write...
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- Find the vector and the cartesian equations of the lines that passes t...
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- Find the vector and the cartesian equations of the line that passes th...
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- Find the angle between the following pair of lines: vecr = 2hati-5hatj...
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- Find the angle between the following pair of lines: vecr = 3hati+hatj-...
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- Find the angle between the following pair of lines: (x-2)/2=(y-1)/5=(z...
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- Find the angle between the following pair of lines: x/2=y/2=z/1 and (x...
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- Find the value of p so that the lines (1-x)/3=(7y-14)/(2p)=(z-3)/2 and...
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