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    In an orbital motion, the angular momentum vector is:
    Question

    In an orbital motion, the angular momentum vector is:

    A.

    along the radius vector

    B.

    parallel to the linear momentum

    C.

    in the orbital plane

    D.

    perpendicular to the orbital plane

    Correct option is D

    In orbital motion, angular momentum is a vector quantity defined as:L=r×pWhere: L=Angular momentum vector r=Position (radius) vector p=mv=Linear momentum vectorThe cross product r×p means the resulting vector L is perpendicular to both the radius vector and the momentum vector.\text{In orbital motion,} \ \textbf{angular momentum} \ \text{is a vector quantity defined as:}\\[1em]\vec{L} = \vec{r} \times \vec{p}\\[1em]\text{Where:} \\\bullet\ \vec{L} = \text{Angular momentum vector} \\\bullet\ \vec{r} = \text{Position (radius) vector} \\\bullet\ \vec{p} = m \vec{v} = \text{Linear momentum vector}\\[1em]\text{The \textbf{cross product} } \vec{r} \times \vec{p} \text{ means the resulting vector } \vec{L} \text{ is \textbf{perpendicular} to both the radius vector and the momentum vector.}​​

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