WAEC - Further Mathematics (2012 - No. 22)
Find the unit vector in the direction of the vector \(-12i + 5j\).
\(\frac{-12i}{13} - \frac{5j}{13}\)
\(\frac{-1i}{13} + \frac{5j}{13}\)
\(\frac{-12i}{13} + \frac{5j}{13}\)
\(\frac{-5i}{13} + \frac{12j}{13}\)
Explicação
\(\hat{n} = \frac{\overrightarrow{n}}{|n|}\)
\(\hat{n} = \frac{-12i + 5j}{\sqrt{(-12)^{2} + (5)^{2}}}\)
= \(\frac{-12i}{13} + \frac{5j}{13}\)