Answer
a) The magnitude of the vector $u$ is equal to $\sqrt{41}$.
b) The magnitude of the vector $v$ is equal to $\sqrt{41}$.
c) Yes, $u=v$
Work Step by Step
a) Here, $u=5i+4j$ and $|u|=\sqrt{5^2+4^2}=\sqrt{41}$
This means that the magnitude of the vector $u$ is equal to $\sqrt{41}$.
b) Here, $v=5i+4j$ and $|v|=\sqrt{5^2+4^2}=\sqrt{41}$
This means that the magnitude of the vector $v$ is equal to $\sqrt{41}$.
c) Yes, $u=v$
Both the vectors $u$ and $v$ have the same magnitude, that is, $\sqrt {41}$ and both have the same direction as they are parallel.
