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Find the shortest distance between the l...

Find the shortest distance between the lines `(x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5` .

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To find the shortest distance between the two lines given by the equations: 1. \((x-1)/2 = (y-2)/3 = (z-3)/4\) 2. \((x-2)/3 = (y-4)/4 = (z-5)/5\) we can follow these steps: ### Step 1: Identify Points and Direction Ratios ...
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Find the shortest distance between the lines (x-1)/2=(y-2)/4=(z-3)/7 and (x-1)/4=(y-2)/5=(z-3)/7

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Knowledge Check

  • 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) is

    A
    `(1)/(6)`
    B
    `(1)/(3)`
    C
    `(1)/(sqrt(3))`
    D
    `(1)/(sqrt(6))`

  • Find the shortest distance between the lines (x-3)/2=(y+15)/-7=(z-9)/5 and (x+1)/2=(y-1)/1=(z-9)/-3 is

    A
    `2sqrt3`
    B
    `3sqrt3`
    C
    `4sqrt3`
    D
    None of these

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

    Find the shortest distance between the lines (x-2)/(-1)=(y-5)/2=(z-0)/3\ a n d\ (x-0)/2=(y+1)/(-1)=(z-1)/2dot

    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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