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WAEC Further Mathematics 2012 Paper

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Question : 22

Total: 40

Find the unit vector in the direction of the vector

-12\hat{i} + 5\hat{j}

.

$\frac{-12\hat{i}}{13} - \frac{5\hat{j}}{13}$
$\frac{-1\hat{i}}{13} + \frac{5\hat{j}}{13}$
$\frac{-12\hat{i}}{13} + \frac{5\hat{j}}{13}$
$\frac{-5\hat{i}}{13} + \frac{12\hat{j}}{13}$

Solution:

$\hat{n} = \frac{\vec{n}}{|n|}$

$\hat{n} = \frac{-12\hat{i} + 5\hat{j}}{\sqrt{(-12)^2 + (5)^2}}$

= $\frac{-12\hat{i}}{13} + \frac{5\hat{j}}{13}$

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