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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
- A unit vector parallel to the straight line: (x-2)/3=(3+y)/-1=(z-2)/-4...
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- The angle between a normal to the plane : 2x-y+2z-1=0 and the z axis i...
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- Find the coordinates of the Foot of the perpendicular drawn from the ...
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- The distance between the x axis and the point (3,12,5) is :
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- The shortest distance of the point (a,b,c) from the x-axis is
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- Equation of the plane perpendicular to the line x/1=y/2=z/3 and passin...
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- The line (x-2)/3=(y-3)/4=(z-4)/5 is parallel to the plane:
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- Prove that the angle between any two diagonals of a cube is cos^-1frac...
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- The line passing through the points (5, 1, a) and (3, b, 1) crosses th...
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- If the straight lines : (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=(z...
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- Let P(3, 2, 6) be a point in space and Q be a point on the line r=(ha...
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- A line with positive direction cosines passes through the pint P(2,-1,...
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- Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...
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- The projection of a vector on the three coordinate axes are 6, -3, 2, ...
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- A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...
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- Equation of the plane containing the straight line x/2=y/3=z/4 and per...
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- If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha, w...
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- If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...
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- The length of the perpendicular drawn from the point (3, -1, 11) to th...
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- The distance of the point (1,-5, 9) fromthe plane x-y+z=5, measured al...
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