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Find the area of a parallelogram whose ...

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

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To find the area of a parallelogram whose adjacent sides are represented 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, which is given by the magnitude of the cross product of the two vectors. ### Step-by-Step Solution: 1. **Identify the vectors**: \[ \vec{a} = 3\hat{i} + \hat{j} + 4\hat{k} \] ...
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