Let `veca=xhati+12hatj-hatk,vecb=2hati+2xhatj+hatkand vecc=hati+hatk`. If the ordered set `[vecb vecc veca]` is left handed, then find the value of x.

Explanation

To solve the problem, we need to determine the value of \( x \) such that the ordered set \([ \vec{b}, \vec{c}, \vec{a} ]\) is left-handed. This can be checked using the scalar triple product, which must be less than zero for a left-handed system.

### Step-by-Step Solution:

1. **Identify the vectors**:
\[ \vec{a} = x \hat{i} + 12 \hat{j} - \hat{k} \]
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