Question
Find the unit vector in the direction of the given vector. Write your answer in (a) component form and (b) as a linear combination of the standard unit vectors i and j.$$\mathbf{u}=\langle 3,-4\rangle$$
Step 1
The magnitude of a vector is given by the square root of the sum of the squares of its components. So, the magnitude of $\mathbf{u}$ is $\sqrt{3^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5$. Show more…
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