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Find the shortest distance between the lines whose vector equations are `vecr=(hati+2 hatj+3 hatk)+lambda(hati-3 hatj+2 hatk)` and `vecr=(4 hati+5 hatj+6 hatk)+mu(2 hati+3 hatj+hatk)`

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Find the angle between the planes whose vector equations are vecr.(2hati+2hatj-3hatk)=5 and vecr.(3hati-3hatj+5hatk)=3

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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  3. Find the shortest distance between the lines whose vector equations ar...

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  6. Find the direction cosines of the unit vector perpendicular to the pla...

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  7. Find the distance of the plane 2x - 3y + 4z - 6 = 0 from the origin.

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  9. Find the vector and cartesian equations of the plane which passes thro...

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  10. Find the vector equations of the plane passing through the points R(2...

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  11. Find the equation of the plane with intercepts 2, 3 and 4 on the x,...

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  12. Find the vector equation of the Plane Passing through the intersection...

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  13. Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/5 and (x+1)/(-1) =(y...

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  14. Find the angle between the two planes 2 x+y-2 z=5 and 3 x-6 y-2 z=7 us...

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  15. Find the angle between the two planes 3 x-6 y+2 z=7 and 2 x+2 y-2 z=5

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  16. Find the distance of a point (2,5,-3) from the plane vecr .(6 hati-3 h...

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  17. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  18. Determine the direction cosines of the normal to the plane and the dis...

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  19. Find the vector equation of a plane which is at a distance of 7 units...

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  20. Find the cartesian equation fo the following planes. vecr.(hati+hatj-h...

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