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Find the distance between the point with...

Find the distance between the point with position vector `-hat(i)-5hat(j)-10hat(k)` and the point of intersection of the line `(x-2)/(3)=(y+1)/(4)=(z-12)/(12)` with the plane `x-y+z=5`.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the distance of the point with position vector -hati-5hatj-10hatk...

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  2. Find the distance of the point (2,12,5) from the point of intersection...

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  3. Find the distance between the point with position vector -hat(i)-5hat(...

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  4. Find the vector equation of the line passing through (1, 2, 3) and par...

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  5. Find the vector equation of the line passing through (1, 2, 3) and per...

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  6. Find the equation of the plane which is parallel to the line (x-4)/1=(...

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  7. Find the equations of the plane through the points (1,0,-1), (3,2,2) a...

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  8. Find the equation of the plane containing the line (x+2)/2=(y+3)/3=(z-...

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  9. Find the equation of the plane, which contains two lines: (x-4)/1=(y-3...

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  10. Find the vector and cartesian equations of the plane containing the li...

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  11. Find the equation of the plane through the point (1,1,1) and perpendic...

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  12. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

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  13. Find the length and the foot of the perpendicular from: P(1,1,2) to th...

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  14. Find the coordinates of the foot of the perpendicular drawn from the o...

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  15. Find the co-ordinates of the foot of the perpendicular from the point(...

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  16. Find the equation of the plane containing the line : (x-1)/3=(y+2)/1=(...

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  17. Show that the line L whose vector equation is vecr=2hati-2hatj+3hatk+l...

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  18. State when the line vecr=veca+lambdavecb is parallel to the plane vecr...

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  19. Find the equations of the line through (-1,3,2) and perpendicular to t...

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  20. Find the vector equation of the line passing through the point (3,1,2)...

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