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A parallelopied is formed by planes drawn through the points `(2, 4, 5) and (5, 9, 7)` parallel to the coordinate planes. The length of the diagonal of parallelopiped is

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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-2
  1. A variable plane which remains at a constant distance p from the origi...

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  2. In a tetrahedron OABC, if OA=hat(i), OB=hat(i)+hat(j) and OC=hat(i)+2h...

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  3. A parallelopied is formed by planes drawn through the points (2, 4, 5)...

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  4. A variable plane which remains at a constant distance p from the origi...

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  5. A mirror and a source of light are situated at the origin O and at ...

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  6. The four lines drawing from the vertices of any tetrahedron to the cen...

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  7. A variable plane is at a distance, k from the origin and meets the coo...

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  8. If from the point P(f, g, h) perpendicular PL and PM be drawn to yz an...

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  9. A plane makes interceptsOA, OB and OC whose measurements are a, b and ...

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  10. Let vectors veca, vecb veca and vecd be such that (veca xxvecb)xx (vec...

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  11. The image of plane p (1) in the plane mirror p (2) is : Let two planes...

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  12. Find the equation of a line : passing through the point vec c , paral...

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  13. Find the equation of a line passing through the point vec c, parallel ...

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  14. Prove that the shortest distance between the diagonals of a rectangula...

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  15. The equation of the plane which passes through the line of intersect...

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  16. Find the equation a plane containing the line vecr =t veca and perpend...

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  17. Prove that the line of intersection of x + 2y + 3z=0 and 3x + zy+ z=0 ...

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  18. Find the distance of the point (3,8,2) from the line vecr=hati + 3 hat...

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  19. Find the vector equation of the plane vecr = 2 hati + hatj - 3 hatk + ...

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  20. Show that the equation to the plane containing the line y/b+ z/c =1, x...

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