Question

. If A = 4i -4j , what is the orientation of A?

Answer 1

SOLUTION

GIVEN

$\vec{A} = 4 \hat{i} - 4 \hat{j}$

TO DETERMINE

The direction of $\vec{A}$

EVALUATION

Here the given vector is

$\vec{A} = 4 \hat{i} - 4 \hat{j}$

Let θ be the required direction

Then

$\displaystyle \: \tan \theta = \frac{ - 4}{4}$

$\displaystyle \: \implies \: \tan \theta = - 1$

$\displaystyle \: \implies \: \tan \theta = - \tan \frac{\pi}{4}$

$\displaystyle \: \implies \: \tan \theta = \tan \bigg(\pi - \frac{\pi}{4} \bigg)$

$\displaystyle \: \implies \: \tan \theta = \tan \frac{3\pi}{4}$

$\displaystyle \: \implies \: \theta = \frac{3\pi}{4}$

FINAL ANSWER

Hence the required angle $\displaystyle \: = \frac{3\pi}{4}$

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Answer 2

Explanation:

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