Mathematics

Problem

A vector in the plane is

\mathbf{V}=5\hat{i}-12\hat{j}

. Which of the following is a unit vector that is perpendicular to

\mathbf{V}

and makes an acute angle with the positive

y

-axis? a)

\dfrac{12}{13}\,\hat{i}-\dfrac{5}{13}\,\hat{j}

\dfrac{12}{13}\,\hat{i}+\dfrac{5}{13}\,\hat{j}

\dfrac{5}{13}\,\hat{i}+\dfrac{12}{13}\,\hat{j}

-\dfrac{12}{13}\,\hat{i}-\dfrac{5}{13}\,\hat{j}