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Find the equation of a line passes thro...

Find the equation of a line passes through the points whose position vectors are `(hati+4hatj+hatk)` and `(2hati-hatj+5hatk)`.

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The correct Answer is:
`vecr=(hati+4hatj+hatk)+lambda(hati-5hatj+4hatk)`
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NAGEEN PRAKASHAN-THREE-DIMENSIONAL GEOMETRY -Exercise 11 B
  1. The cartesian equation of a line is (x+2)/(1) = (y+3)/(-2) = (z)/(3), ...

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  2. Find the vector equation of the line through A(3,4,-7)a n dB(1,-1,6)do...

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  3. Find the equation of a line passes through the points whose position...

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  4. Prove that the points A(2,0,-3), B (1,-2,-5) and C(3,2,-1) are colline...

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  5. Prove that the points A(9,-1,4),B(-1,-3,2) and C(4,-2,3) are collinear...

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  6. Prove that the point A(1,2,3), B(-2,3,5) and C(7,0,-1) are collinear.

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  7. Find the values of lambda ad mu if the points A(-1,4,-2),B(lambda,mu,1...

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  8. Find the equation of a line passes through the point hati+hatj+5hatk a...

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  9. The cartesian equation of a line is 6x+1=3y-2 = 3-2x. Find its directi...

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  10. Find the angle between the following pairs of lines (i) veci=3hati+2...

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  11. (i) Show that the line (x+3)/(2) = (y+1)/(-1) = (z+3)/(3) and (x)/(5) ...

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  12. Find the values of lambda if the following of lines perpendicular : ...

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

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  14. Show that the lines (x-1)/(1) = (y-2)/(-1) = (z-1)/(1) and (x-1)/(1-...

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  15. Show that the lines vecr= hati+hatj-hatk+lambda(3hati-hatj) and vecr =...

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  16. Find the co-ordinates of that point at which the lines joining the poi...

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  17. Find the co-ordinates of that point at which the line joining the poin...

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  18. Find the co-ordinates of a point at which the line (x+1)/(2) = (y-3)/(...

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  19. Find the co-ordinates of a point at which the line (x+1)/(2) = (y-1)/(...

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

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