Answer
a) The magnitude of the vector $u$ is equal to $5$.
b) The magnitude of the vector $v$ is equal to $5$.
c) Yes, $u=v$
Both vectors $u$ and $v$ have the same magnitude, that is, $5$ and both are facing the same direction.
Work Step by Step
a) Here, $|u|=\sqrt{(-3-(-3))^2+(3-(-2))^2}=\sqrt {25}=5$
This means that the magnitude of the vector $u$ is equal to $5$.
b) Here, $|v|=\sqrt{(3-3)^2+(1-(-4))^2}=\sqrt {25}=5$
This means that the magnitude of the vector $v$ is equal to $6$.
c) Yes, $u=v$
Both vectors $u$ and $v$ have the same magnitude, that is, $5$ and both are facing the same direction.
