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MOTION-THREE DIMENSIONAL GEOMETRY (3 -D)-SOLVED EXAMPLE
- P is a variable point and the co-ordinates of two points A and B are (...
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- Find the ratio in which the xy-plane divides the join of (–3, 4, –8) a...
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- ABCD is a square of side length ‘a’. Its side AB slides between x and ...
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- Find the direction cosines l + m + n of the two lines which are connec...
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- Show that the lines whose direction cosines are given by l+m+n=0, 2mn...
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- Find the area of the triangle whose vertices are A(1, 2, 3), B(2, –1, ...
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- A plane is passing through a point P(a, –2a, 2a), a ne 0, at right ang...
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- Reduce the equation of the plane x + 2y – 2z – 9 = 0 to the normal for...
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- Find the equation of the plane passing through the points (0,-1,-1), (...
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- Find the equation of the plane through (1, 0, -2) and perpendicular to...
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- Find the equation of the plane passing through the line of intersectio...
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- A variable plane is at a constant distance p from the origin and meets...
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- Show that the origin lies in the acute angles between the planes x + 2...
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- The cartesian equation of a line is (x-3)/(2)=(y+1)/(-2)=(z-3)/(5). Fi...
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- If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...
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- Find the coordinates of the foot of the perpendicular drawn from po...
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- Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...
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- Show that the disease of the point of intersection of the line (x-2)/3...
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- Find the co-ordinates of the foot of the perpendicular drawn from the ...
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- The equation of straight line 3x + 2y - 2-4 = 0 ; 4x+y-2z + 3 = 0 in ...
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