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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

Sagot :

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:

[tex]\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}[/tex]

Therefore the magnitude of the sum of vectors is 6.88.

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