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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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