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Find the point where the line (x+1)/2=(y...

Find the point where the line `(x+1)/2=(y+2)/3=(z+3)/4` meets the plane `x+y+4z=6`.

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Find the points where the line (x+1)/(2)=(y-2)/(-3)=(z+3)/(4) meets the plane 2x+4y-z=1 .

Find the distace of a point (2,12,5) from the point where the line (x-2)/(3)=(y+4)/(4)=(z-2)/(2) meets the plane x-2y+z=0

Find the distance from the point (3,4,5) of the plane, where the line : (x-3)/1=(y-4)/2=(z-5)/2 meets the plane x+y+z=2 .

Find the co-ordinates of the point, where the line: (x-2)/3=(y+1)/4=(z-2)/2 intersects the plane x-y+z-5=0 . Also find the angle between the line and the plane.

Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane x+2y+z-9=0 .

Find the angle between the lines (x+1)/(2)=(y)/(3)=(z-3)/(6) and the planes 3x+y+z=7 .

Find the angle between the line : (x+1)/2=y/3=(z-3)/6 and the plane 10x+2y-11z=3 .

Find the angle between the line (x+1)/2 = y/3 = (z-3)/6 and the plane 10x+2y-11z = 3

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Show that the line , vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in t...

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

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  3. Find the point where the line (x+1)/2=(y+2)/3=(z+3)/4 meets the plane ...

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  4. Find the angle between the line : (2hati+3hatj+4hatk)+lambda(2hati+3ha...

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  5. Find the angle between the line joing (3,-4,-2) and(12, 2, 0) and the ...

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

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

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  8. Find the distance of the point (-1, -5, -10) from the point of interse...

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  9. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  10. Find the distance of the point with position vector -hati-5hatj-10hatk...

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

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

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

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

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

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

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

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

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

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

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