Question2. What is the magnitude of resultant vector where $$\vec{u}=\langle-4 \sqrt{2},-2\rangle \text { and } \vec{v}=\langle 5 \sqrt{2}, 3\rangle$$

Studdy Solution
Calculate the magnitude of the resultant vector $\vec{r}$:
The formula for the magnitude of a vector $\langle a, b \rangle$ is:
$|\vec{r}| = \sqrt{a^2 + b^2}$
Substitute the components of $\vec{r}$:
$|\vec{r}| = \sqrt{(\sqrt{2})^2 + (1)^2}$
$|\vec{r}| = \sqrt{2 + 1}$
$|\vec{r}| = \sqrt{3}$
The magnitude of the resultant vector is:
$$\boxed{\sqrt{3}}$$