Find the perpendicular distasnce of the point (1,0,0) from the lines (x-1)/2=(y+1)/(-3)=(z+10)/8`

Explanation

`frac{x-1}{2}=frac{v+1}{-3}=frac{z+10}{8}=lambda`

DR at P Q:`(2 lambda,-3 lambda-1,8 lambda-10)`

`2 times 2 lambda+3(3 lambda+1)+8(8 lambda-10)=0`

`77 lambda-77=0`

`lambda=1`

Q:(3,-4,-2)
P Q=`sqrt{4+16+4}`

`=sqrt{24} unit.`