Linear Algebra Examples

$y = - 5 i + 2 j$

Step 1

Apply the direction angle formula $θ = \arctan (\frac{b}{a})$ where $a = - 5$ and $b = 2$ .

$θ = \arctan (\frac{2}{- 5})$

Step 2

Solve for $θ$ .

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Step 2.1

Remove parentheses.

$θ = \arctan (\frac{2}{- 5})$

Step 2.2

Simplify $\arctan (\frac{2}{- 5})$ .

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Step 2.2.1

Move the negative in front of the fraction.

$θ = \arctan (- \frac{2}{5})$

Step 2.2.2

Evaluate $\arctan (- \frac{2}{5})$ .

$θ = - 0.38050637$