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SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
- What are the d.cs of the line x = y = z.
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- Write down the d.rs of the line 2x = 3y = 4z.
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- Write the equation of the plane passing through the point (3, 1, 2) a...
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- Find the equation of the line through the point (2, 3, 5) and parallel...
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- Show that lines vecr = (hat(i) + hat(j) - hat(k)) + lambda(3hat(i) - h...
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- The position vectors of two points A and B are 3hati+hatj+2hatk and ha...
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- Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...
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- Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]
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- If the sum of two unit vectors is a unit vector, show that the magnitu...
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- Find the shortest distance between the following lines vecr = 2hat(i) ...
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- Find the shortest distance between the lines (x-8)/(3) = (y+9)/(-16) ...
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- Find the distance of the point (-1,-5,-10) from the point of intersect...
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- The projection of a line segment overline(OP), through origin O, on th...
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- passing through the point (-1,3,2) perpendicular to the planes x+2y+...
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- Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...
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- Find the locus of points which are equidistant from the points (1,2,3)...
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- Find the equation of the plane through the points (1, 2, -3), (2,3, -4...
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- Find the perpendicular distance of the point (-1,3,9) from the line (x...
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- Prove that the measure of the angle between two main diagonals of a cu...
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- If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...
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