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Find the shortest distance between the lines
`(x+3)/(-4) =(y-6)/(3)=(z)/(2) " and " (x+2)/(-4) =(y)/(1)=(z-7)/(1)`

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To find the shortest distance between the two given lines, we will follow these steps: ### Step 1: Write the equations of the lines in vector form The first line \( L_1 \) is given by: \[ \frac{x + 3}{-4} = \frac{y - 6}{3} = \frac{z}{2} \] ...
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Find the shortest distance between the lines (x+2)/(-4) = (y)/(1) = (z-7)/(1) and (x+3)/(-4) = (y-6)/(3) = 9/2

Find the shortest distance between the lines (x-23)/(-6) = (y-19)/(-4) = (z-25)/(3) and (x-12)/(-9) = (y-1)/(4)= (z-5)/(2).

Find the shortest distance between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-4)/(4)=(z-5)/(5)

Find the magnitude of the shortest distance between the lines (x)/(2)=(y)/(-3)=(z)/(1) and (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) .

Equation of the line of the shortest distance between the lines (x)/(1)=(y)/(-1)=(z)/(1) and (x-1)/(0)=(y+1)/(-2)=(z)/(1) is:

Equation of the line of the shortest distance between the lines (x)/(2)=(y)/(-3)=(z)/(1) and (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) is

Find the shortest distance between the lines (x-6)/(3)=(y-7)/(-1)=(z-4)/(1) and (x)/(-3)=(y-9)/(2)=(z-2)/(4)

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RS AGGARWAL-STRAIGHT LINE IN SPACE-Objective Questions
  1. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

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  2. The directions rations of two lines are 3,2,-6 and , 1,2,2 respec...

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  3. The direction rations of two lines are a,b,c and (b-c) , (c-a),(...

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  4. The angle between the lines (x-2)/(2)=(y-1)/(7)=(z+3)/(-3) " and "...

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  5. Assertion: If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(...

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  6. A line passes through the points A(2,-1,1) and B(1,2-2) .The equa...

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  7. Find the angle between the following pair of lines x/2=y/2=z/1 and (x-...

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  8. Find the angle between the following pairs of lines:(i) -> r=2 hat i...

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  9. The direction cosines of the line which is perpendicular to the lines ...

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  10. A line passes through the point A(5,-2.4) and it is parallel to th...

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  11. The Cartesian equations of a line are (x-1)/(2)=(y+2)/(3) =(z-5)/(-...

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  12. Find the cartesian equation of the line which passes through the poin...

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  13. The coordinates of the point where the line through the point A ...

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  14. The vector equation of the x-axis is given by

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  15. The Cartesian equations of a line are (x-2)/(2)=(y+1)/(3) =(z-3)/...

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  16. Find the angle between two lines whose direction ratios are proport...

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  17. The straight line (x-2)/(3)=(y-3)/(1)=(z+1)/(0) is

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  18. If a vector makes angle alpha,beta,gamma with OX, OY and OZ respective...

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  19. If (a(1) ,b(1),c(1)) " and "(a(2),b(2),c(2)) be the direction ratio...

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  20. If the points A(-1,3,2),B(-4,2,-2)a n dC(5,5,lambda) are collinear, fi...

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