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Show that the line joining the origin to...

Show that the line joining the origin to the point (2,1,1) is perpendicular to the line determined by the points (3,5,-1),(4,3,-1)

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NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Ncert Miscellaneous Exercise
  1. Show that the line joining the origin to the point (2,1,1) is perpendi...

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  2. If l1,m1,n1 and l2,m2,n2 are the direction cosines of two mutually per...

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  3. Find the angle between the lines whose direction ratios are a,b,c and ...

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  4. Find the equation of a line parallel to x-axis and passing through the...

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  5. If the coordinates of the points A,B,C,D be (1,2,3),(4,5,7),(-4,3,-6) ...

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  6. If the lines (x-1)/(-3) =(y-2)/(2k) =(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z...

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

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

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  9. Find the shortest distance between the lines vecr=6hati+2hatj+2hatk+la...

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  10. Find the coordinates of the point where the line through (5,1,6) and (...

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  11. Find the coordinates of the point where the line through (5,1,6) and (...

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  12. Find the coordinates of the point where the line through (3,-4,-5) and...

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  13. Find the vector and cartesian equations of the plane passing through t...

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  14. If the points (1,1,p) and (-3,0,1) are equidistant from the plane vecr...

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

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  16. If O is the origin and the coordinates of P be (1,2,-3) , then find th...

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

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  18. Find the angle between the line vecr=(2hati+2hatj+hatk)+lambda(2hati-3...

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

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  20. If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...

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