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If vectors \( \mathbf{a} \) and \( \mathbf{b} \) are two adjacent sides of \( a \) parallelogram, then the vector representing the altitude
\( \mathrm{P} \) of the parallelogram which is perpendicular to \( a \) is
(a) \( \mathbf{b}+\frac{\mathbf{b} \times \mathbf{a}}{|\mathbf{a}|^{2}} \)
(b) \( \frac{\mathbf{a} \cdot \mathbf{b}}{|\mathbf{b}|^{2}} \mathbf{b} \)
(c) \( \mathbf{b}-\frac{\mathbf{b} \cdot \mathbf{a}}{|\mathbf{a}|^{2}} \mathbf{a} \)
(d) \( \frac{\mathbf{a} \times(\mathbf{b} \times \mathbf{a})}{|\mathbf{a}|^{2}} \)
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