Answer
a) The magnitude of the vector $u$ is equal to $6$.
b) 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, $6$ and both are facing the same direction.
Work Step by Step
a) Here, $|u|=\sqrt{(5-(-1))^2+(1-1)^2}=\sqrt {36}=6$
This means that the magnitude of the vector $u$ is equal to $6$.
b) Here, $|v|=\sqrt{(4-(-2))^2+(-1-(-1))^2}=\sqrt {36}=6$
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, $6$ and both are facing the same direction.
