Find a unit vector in the direction of the given vector.
$\mathbf { u } = \langle 4,0 \rangle$
A) $\langle 1,1 \rangle$
B) $\langle 1,0 \rangle$
C) $\langle 0,0 \rangle$
D) $\langle 4,0 \rangle$
E) $\langle 0,1 \rangle$

Question

Find a unit vector in the direction of the given vector.  
  $\mathbf { u } = \langle 4,0 \rangle$  
A) $\langle 1,1 \rangle$
B) $\langle 1,0 \rangle$
C) $\langle 0,0 \rangle$
D) $\langle 4,0 \rangle$
E) $\langle 0,1 \rangle$

Quizplus · Accepted Answer

A unit vector in the direction of $\mathbf{u} = \langle 4,0 \rangle$ is obtained by dividing $\mathbf{u}$ by its magnitude. The magnitude of $\mathbf{u}$ is $|\mathbf{u}| = \sqrt{4^2 + 0^2} = 4$. Dividing $\mathbf{u}$ by its magnitude gives $\frac{\mathbf{u}}{|\mathbf{u}|} = \frac{\langle 4,0 \rangle}{4} = \langle 1,0 \rangle$.

Find a Unit Vector in the Direction of the Given u=⟨4,0⟩\mathbf { u } = \langle 4,0 \rangleu=⟨4,0⟩

Find a Unit Vector in the Direction of the Given $\mathbf { u } = \langle 4,0 \rangle$