Question

two vectors, a and b, have magnitudes of 5 units and 12 units, respectively, and are oriented at a right angle to each other. using the pythagorean theorem (a² + b² = c²), what is the magnitude of the resultant vector r? units

Explanation:

Step1: Identify values for a and b

Let $a = 5$ and $b=12$.

Step2: Apply Pythagorean theorem

$c=\sqrt{a^{2}+b^{2}}=\sqrt{5^{2}+12^{2}}=\sqrt{25 + 144}=\sqrt{169}=13$.

Answer:

13