Answer
a) The magnitude of the vector $u$ is equal to $2 \sqrt{13}$.
b) The magnitude of the vector $v$ is equal to $2 \sqrt{13}$.
c) Yes, $u=v$
Both vectors $u$ and $v$ have the same magnitude, that is, $2 \sqrt{13}$ and both are facing the same direction.
Work Step by Step
a) Here, $|u|=\sqrt{(-4-0)^2+(6-0)^2}=\sqrt {52}=2 \sqrt{13}$
This means that the magnitude of the vector $u$ is equal to $2 \sqrt{13}$.
b) Here, $|v|=\sqrt{(-2-2)^2+(5-(-1))^2}=\sqrt {52}=2 \sqrt{13}$
This means that the magnitude of the vector $v$ is equal to $2 \sqrt{13}$.
c) Yes, $u=v$
Both vectors $u$ and $v$ have the same magnitude, that is, $2 \sqrt{13}$ and both are facing the same direction.
