Given the following two skew lines:(adsbygoogle = window.adsbygoogle || []).push({});

L1: (0, 4, -3) + s(-1, 1, 3)

L2: (1, 2, 5) + t(-3, 2, 5)

Find the shortest distance.

MY WORK::

Cross-product of the lines (-1, 1, 3) X (-3, 2, 5) = (-1, -4, 1) with length 3*sqrt(2)

Vector between the points (0, 4, -3) - (1, 2, 5) = (-1, 2, -8)

Dot product of those results (-1, 2, -8) . (-1, -4, 1) = -15

Remove sign and divide by cross-product length 15 / (3 sqrt(2)) = 5/sqrt(2)

I was wondering if the VECTOR between the points is right or is the reverse

(1,2,5)-(0,4,-3)= (1, -2, 13) ??????????????

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# Find the shortest distance between two lines:

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