Question

Vector A has a magnitude of 4.5 and is in the northwest direction. Vector B has a magnitude of 5.2 and is in northeast direction. Find the magnitude of the resultant vector of B+A

Answer 1

First, let's draw each vector:

Since the vectors are perpendicular (the angle between then is 90°), we can use the Pythagorean theorem to find the magnitude of the resulting vector:

`\begin{gathered} C^2=A^2+B^2 \\ C^2=4.5^2+5.2^2 \\ C^2=20.25+27.04 \\ C^2=47.29 \\ C=6.88 \end{gathered}`

Therefore the magnitude of the sum of vectors is 6.88.