The resolved part of the vector \( \vec{a} \) along the vector \( \...
The resolved part of the vector \( \vec{a} \) along the vector \( \vec{b} \) is \( \vec{\lambda} \) and that perpendicular to \( \vec{b} \) is \( \vec{\mu} \). Then
\( \mathrm{P} \)
(a) \( \vec{\lambda}=\frac{(\vec{a} \cdot \vec{b}) \vec{a}}{\vec{a}^{2}} \)
(b) \( \vec{\lambda}=\frac{(\vec{a} \cdot \vec{b}) \vec{b}}{\vec{b}^{2}} \)
(c) \( \vec{\mu}=\frac{(\vec{b} \cdot \vec{b}) \vec{a}-(\vec{a} \cdot \vec{b}) \vec{b}}{\vec{b}^{2}} \)
(d) \( \vec{\mu}=\frac{\vec{b} \times(\vec{a} \times \vec{b})}{\vec{b}^{2}} \)
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