Find the area of a parallelogram whose adjacent sides are given by the vectors `veca=3 hat i+ hat j+4 hat k`and `vecb= hat i - hat j+ hat k`.

Explanation

To find the area of the parallelogram formed by the vectors \(\vec{a} = 3\hat{i} + \hat{j} + 4\hat{k}\) and \(\vec{b} = \hat{i} - \hat{j} + \hat{k}\), we will use the formula for the area of a parallelogram defined by two vectors, which is given by the magnitude of the cross product of the vectors.

### Step-by-Step Solution:

1. **Write down the vectors:**
\[ \vec{a} = 3\hat{i} + \hat{j} + 4\hat{k} \]
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