When the position vector r = x i + y j + z k changes sign as - r which one of the following vector will not flip under sign change ? [2026]

Question

When the position vector $\vec{r} = x \hat{i} + y \hat{j} + z \hat{k}$ changes sign as $- \vec{r}$ which one of the following vector will not flip under sign change ? [2026]

Smart Achievers · Accepted Answer

(3)

$\vec{r} = x \hat{i} + y \hat{j} + z \hat{k}$

$\vec{v} = \frac{d \vec{r}}{d t} = v_{x} \hat{i} + v_{y} \hat{j} + v_{z} \hat{k}$

$\vec{p} = m \vec{v}$

$\vec{L} = m (\vec{r} \times \vec{v})$

$= (x \hat{i} + y \hat{j} + z \hat{k}) \times m (v_{x} \hat{i} + v_{y} \hat{j} + v_{z} \hat{k})$

$When sign of \vec{r} changes, \vec{L} remains same.$

Solution

Q.
When the position vector $\vec{r} = x \hat{i} + y \hat{j} + z \hat{k}$ changes sign as $- \vec{r}$ which one of the following vector will not flip under sign change [2026]

1 Velocity

2 Linear momentum

3 Angular momentum

4 Acceleration

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