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Find the vector equation of the line pas...

Find the vector equation of the line passing through the point (1,2,-4) and perpendicular to the lines
`(x-8)/(3)=(y+19)/(-16)=(z-15)/(3)` and `(x-15)/(3)=(y-29)/(8)=(z-5)/(-5)`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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

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  3. Find the vector equation of the line passing through the point (1,2,-4...

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  4. Prove that if a plane has intercepts a,b,c and is at a distance of p u...

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  5. Find the Distance between the two planes 2x+3y+4z=4 and 4x+6y+8z=12

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  6. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

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  7. The x, co-ordinate of a point on the line joining the points Q (2, 2, ...

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

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  9. Find the equation of a plane which is at a distance 3sqrt3 units from ...

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  10. Find the equation of the two lines through the origin which intersect ...

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  11. The plane ax+by=0 is rotated through an angle alpha about its line of ...

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  12. Show that the sequence t n defined by t n = 3 n + 1 is an AP.

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  13. Prove that the lines, whose direction cosines are given by al+bm+cn=0,...

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  14. Prove that the lines, whose direction cosines are given by al+bm+cn=0,...

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  15. Using converse of Basic Proportionality theorem prove that the line jo...

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  16. Verify that <(l1+l2+l3)/sqrt3,(m1+m2+m3)/sqrt3,(n1+n2+n3)/sqrt3> can b...

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

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  18. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

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  19. Prove that the line joining the points vec(6a)-vec(4b)+vec(4c) and -ve...

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

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