Question

Find the unit vector in the same direction as v.

Answer 1

In order to calculate the unit vector in the same direction as v, we need to divide vector v by its own magnitude:

`u=(v)/(||v||)=\frac{ai+bj}{\sqrt[]{a^2+b^2}}`

For a = 5 and b = -1, we have:

`u=\frac{5i-j}{\sqrt[]{5^2+(-1)^2}}=\frac{5i-j}{\sqrt[]{26}}=\frac{5}{\sqrt[]{26}}i-\frac{1}{\sqrt[]{26}}j`