A vector a of magnitude 8 units has 2 components. One component has a magnitude of 6 units and is perpendicular to vector a. Find the magnitude of the other vector.
{Hint: The components are NOT perpendicular components}
Give a complete graphical explanation of the process.
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To work with a vector, we need to be able to find its magnitude and its direction. We find its magnitude using the Pythagorean Theorem or the distance formula, and we find its direction using the inverse tangent function. Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2.
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