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Show that the lines: vecr=(hati+hatj)+la...

Show that the lines: `vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2hati-hatj)+mu(hati+hatk-hatk)` do not intersect.

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Find the equation of the line passing through the point (1,2,-3) and perpendicular to the lines : vecr=(2hati-hatj-hatk)+lambda(2hati-hatj-3hatk) and vecr=(3hati-hatj-2hatk)+mu(hati+hatj+hatk)

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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Write the vector equation of the following lines and hence find distan...

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  2. Find the shortest distance between the lines x+1=2y=-12z and x=y+2=6z-...

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  3. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

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  4. Determine whether the following pair of lines intersect : vecr=hati+...

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  5. Find the vector and cartesian equation of the plane which bisects the ...

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  6. Find the equation of the plane passing through the point (3,-3, 1) and...

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  7. Find the co-ordinates of the foot of the perpendicular distance of the...

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  8. Find the equation of the plane passing through (a, b, c) and parallel ...

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  9. A plane meets the coordinates axes in A, B and C such that the centroi...

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  10. Find the direction ratios of the normal to the plane, which passes thr...

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  11. Find the vector equation of the plane passing through the intersection...

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  12. Find the equation of the plane passing through the line of intersectio...

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  13. Find the equation of the plane passing through the line of intersectio...

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  14. Find the equation of the plane which contains the line of intersection...

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  15. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

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  16. Find the equation of the plane passing through the points (3, 4, 1), (...

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  17. Find the equations of the perpendicular from the point (3, -1, 11) to...

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  18. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

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  19. Find the distance between the point (7,2,4) and the plane determined b...

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  20. Find the distance between the point P(6,5,9) and the plane determined ...

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