The lines r = i - 2j + 3k + (4i - j)s and r = 3i

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The lines r = i - 2j + 3k + (4i - j)s and r = 3i – 5k + (i + 4j + 3k)t are skew.

a. Show that the lines do not intersect.

b. Find the angle between the lines.

c. Find the shortest distance between the lines.

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