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Find the co-ordinates of the points wher...

Find the co-ordinates of the points where the line through the points (3,-4,-5) and (2,-3,1) crosses the plane `2x+y+z=7`

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The correct Answer is:
`(1,-2,7)`
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OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
  1. Find the vector equation of the line passing through (1, 2, 3) and per...

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  2. Find the shortest distance between the lines ((x+1)/7=(y+1)/-6=(z+1)/1...

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  3. Find the co-ordinates of the points where the line through the points ...

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  4. Find the vector equation of the plane which is at a distance of 7 unit...

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  5. Find the cartesian equation of plane vec(r)*(hat(i)+hat(j)-hat(k))=2

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  6. Find the co-ordinates of the foot of the perpendicular drawn from the ...

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  7. Find the equations of the plane that passes through three points : (1,...

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  8. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  9. Find the intercepts cut off by the plane 2x+y-z = 5

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  10. Find the vector equation of the plane through the intersection of the ...

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

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  12. Find the equation of the plane through the intersection of the planes ...

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

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  14. Find the angle between the planes whose vector equations are vec(r)(...

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  15. Find the vector equation of plane that passes through the point (1,0,-...

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  16. If a line has direction ratios -18,12,-4, then what are its direction ...

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  17. Find the direction cosines of the sides of the triangle whose vertices...

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  18. A line passes through the point with position vector 2hat(i)-hat(j)+4h...

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  19. Show that the line through the points : (4,7,8), (2,3,4) is parallel t...

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  20. Find the cartesian equation of the line which passes through the point...

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