When the position vector changes sign as , which one of the following vector will not flip under sign change

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

(4)

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

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

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

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

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

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 Linear momentum

2 Velocity

3 Acceleration

4 Angular momentum

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