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Find the vector and Cartesian equations of the line through the point `(5,\ 2,\ -4)` and which is pralel to the vector `3 hat i+2 hat j-8 k dot`

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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Show that the points (2, 3, 4), (-1, -2, 1), (5, 8, 7) are collinea...

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

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  3. Find the vector and Cartesian equations of the line through the point ...

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  4. Find the vector equation for the line passing through the points (1, 0...

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  5. The Cartesian equation of a line is (x+3)/2=(y-5)/4=(z+6)/2. Find th...

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  6. Find the angle between the pair of lines given by barr=3 hati+2 hatj...

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  7. find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4 and (...

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  8. Find the shortest distance between the lines l1 and l2 barr=hati+hatj+...

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  9. Find the distance between the lines l1 and l2, given by barr=hati+2 h...

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  10. Show that the three lines with direction cosines (12)/(13),(-3)/(13),(...

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  11. Show that the line through the points (1, -1, 2) and (3, 4,-2) is p...

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

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  13. The equation of the line which passes through the point (1,2,3) and pa...

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  14. Find the equation of the line in vector and in cartesian form that pas...

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  15. Find the Cartesian equation of the line with passes through the point ...

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  16. The Cartesian equations of a line are (x-5)/3=(y+4)/7=(z-6)/2dot Find ...

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  17. Find the Cartesian equation of the line passing through origin and (5,...

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  18. Find the vector and the cartesian equations of the lines that passes t...

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  19. Find the angle between the following pairs of lines: i) vecr=2 hati-5...

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  20. Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+...

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