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Find the vector and Cartesian equatio...

Find the vector and Cartesian equations of the line passing through the points A(2,-3,0) and B(-2,4,3).

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The correct Answer is:
`vec(r )=(hat(i) -2hat(j) +hat(k)) +lambda( -4hat(i) +7hat(j) +3hat(k)) ,(x-2)/(-4) =(y+3)/(7) =(z)/(3)`
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RS AGGARWAL-STRAIGHT LINE IN SPACE-Exercise 27A
  1. Find the Cartesian equations of the line which passes through t...

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  2. Find the equations of the line passing through the point (1,-2,3)...

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  3. Find the Cartesian and vector equations of a line which passes t...

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  4. Find the equations of the line passing through the point (-1,3,-...

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  5. Find the Vector and Cartesian equations of the line passing through...

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  6. Show that the following pairs of lines intersect. Also find their poin...

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  7. Show that the line (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2 inters...

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  8. Show that the lines (x-1)/(2)=(y+1)/(3)=z " and " (x+1)/(5)=(y-2)/...

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  9. Find the co-ordiantes of the foot of perpendicular drawn from the poi...

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  10. Find the length and the foot of the perpendicular drawn from the point...

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  11. Find the vector and Cartesian equations of the line passing thro...

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  12. Find the vector and Cartesian equations of the line passing thro...

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  13. Find the vector and Cartesian equations of the line joining the...

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  14. Find the vector equations of a line passing through the point A(3,...

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  15. Find the vector equation of a line passing through the point havi...

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  16. Find the coordinates of the foot of the perpendicular drawn from th...

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  17. Find the coordinates of the foot of the perpendicular drawn from the p...

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  18. Find the image of the point (0,2,3) in the line (x+3)/(5)= (y-1)/(2) =...

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  19. Find the image of the point (5,9,3) in the line (x-1)/(2)=(y-2)/(3...

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  20. Find the foot of the perpendicular drawn from the point 2 hat i- ha...

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