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Find the vector and cartesian equation of a line passes through the points `(1,3,2)` and origin.

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To find the vector and Cartesian equations of the line passing through the points \( (1, 3, 2) \) and the origin \( (0, 0, 0) \), we can follow these steps: ### Step 1: Identify the points We have two points: - Point A: \( (1, 3, 2) \) - Point O (the origin): \( (0, 0, 0) \) ### Step 2: Determine the direction vector ...
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NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Miscellaneous Exercise
  1. Find the vector and cartesian equation of a line passes through the po...

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  2. Show that the line joining the origin to the point (2,1,1) is perpe...

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  3. If l(1), m(1), n(1) and l(2),m(2),n(2) are the direction cosines of tw...

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

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

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

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

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

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  9. Write the vector equation of the plane, passing through the point (a ,...

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  10. Find the shortest distance between lines vecr = 6hati+2hatj+2hatk+lam...

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  11. Find the coordinate 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 (5, 1, 6) ...

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  13. Find the coordinates of the point where the line through (3, -4, -5...

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  14. Find the equation of the plane passing through the point (-1, 3, 2)...

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  15. If the points (1," "1," "p)" "a n d" "(" "3," "0," "1) be equidistant ...

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

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  17. If O be the origin and the coordinates of P be(1," "2," "" "3) , th...

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

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

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

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

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