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Question

Question: Shortest distance between lines \(\frac{x - 3}{3} = \frac{y - 8}{- 1} = \frac{z - 3}{1}\)and\(\frac...

Shortest distance between lines

x33=y81=z31\frac{x - 3}{3} = \frac{y - 8}{- 1} = \frac{z - 3}{1}andx+33=y+72=z64\frac{x + 3}{- 3} = \frac{y + 7}{2} = \frac{z - 6}{4}is

A

30\sqrt{30}

B

2302\sqrt{30}

C

5305\sqrt{30}

D

3303\sqrt{30}

Answer

5305\sqrt{30}

Explanation

Solution

Use formula in cartesian form.