Find a unit vector in the direction of the given vector. $\mathbf { w } = 5 \mathbf { j }$
A)j
B)i
C)- j
D)- i
E) i - j

Question

Find a unit vector in the direction of the given vector.  $\mathbf { w } = 5 \mathbf { j }$  
A)j
B)i
C)- j
D)- i
E) i - j

Quizplus · Accepted Answer

A unit vector in the direction of a given vector can be found by dividing the vector by its magnitude. The magnitude of $\mathbf{w} = 5\mathbf{j}$ is 5. Dividing $\mathbf{w}$ by its magnitude gives $\frac{5\mathbf{j}}{5} = \mathbf{j}$, which is a unit vector in the direction of $\mathbf{w}$.

Find a Unit Vector in the Direction of the Given w=5j\mathbf { w } = 5 \mathbf { j }w=5j

Find a Unit Vector in the Direction of the Given $\mathbf { w } = 5 \mathbf { j }$