Find the shortest distance between the lines gives by
`vecr=(8+3lamda)hati-(9+16lamda)hatj+(10+7lamda)hatk`
and `vecr=15hati+29hatj+5hatk+mu(3hati+8hatj-5hatk)`.

Explanation

To find the shortest distance between the given lines, we can follow these steps:

### Step 1: Identify the lines in vector form
The first line is given by:
\[ \vec{r_1} = (8 + 3\lambda) \hat{i} - (9 + 16\lambda) \hat{j} + (10 + 7\lambda) \hat{k} \]
We can express this in the form \(\vec{r} = \vec{a_1} + \lambda \vec{b_1}\):
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