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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
- Find the vector equation of a line passing| through (2, -1, 1) and par...
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- squareABCD is a parallelogram. The position vectors of the points A, B...
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- Find the coordinates of the point where the line through (5, 1, 6) and...
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- Find the angle between the lines vecr = (3 + lambda)hati + 2(1 + l...
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- Find the angle between the lines whose direction cosines are given by ...
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- Show that the lines (x-2)/(3)=(y+1)/(-2)=2 and (x-1)/(1)=(2y+3)/(3)=(z...
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- Prove that if the lines x = ay + b, z = cy + d and x = a'y + b', z = c...
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- Find the values of p so that the lines (1-x)/(3)=(7y-14)/(2p)=(z-3...
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- Find the shortest distance between the lines vecr =(8+3lambda) hati - ...
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- Find the shortest distance between the lines vecr=(4hati-hatj)+lam...
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- Find the shortest distance between the lines (x-1)/(2)=(y-2)/(3)=(...
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- Find the shortest distance between the lines vecr=(lambda-1)hati+(...
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- Find the direction cosines of perpendicular from the origin to the pla...
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- Find the vector equation of a plane which is at a distance 11 units fr...
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- Find the vector equation of the plane vecr=hati-hatj+lambda(hati+hatj+...
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- Find the cartesian equation of the plane through the point (2,-1, 1) a...
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- Find the vector equation of the plane passing through the points (1, -...
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- Find the value of a so that the four points with position vectors -hat...
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- A plane meets the co-ordinate axes at A, B and C such that the centroi...
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- Show that the plane through (1, 1, 1), (1,-1, 1) and (-7, 3, -5) is pe...
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