Question

fill in the blank question
because the components of vectors being added are perpendicular, use the theorem to find the magnitude of recombined resultant components, then use the ratio for its direction.
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Explanation:

Step1: Magnitude calculation

When components of vectors are perpendicular, the Pythagorean theorem ($a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the perpendicular components and $c$ is the magnitude of the resultant) is used for magnitude.

Step2: Direction calculation

For direction, the tangent ratio ($\tan\theta=\frac{y - component}{x - component}$, where $\theta$ is the angle of the resultant vector with respect to the $x$-axis) is used.

Answer:

Pythagorean; tangent