The given magnitude of two vectors are 4 and 2.
The sum of magnitude of two vectors is [tex]2\sqrt{5}[/tex]
Given:
The magnitude of two vectors are 4 and 2.
The direction of two vectors are 45° and 135°.
According to vector addition,
the vector that i drew in red is their sum.
The angle between both the vectors = [tex]135[/tex]° - [tex]45[/tex]° = [tex]90[/tex]°
So, two vectors are perpendicular
Sum = [tex]\sqrt{4^{2}+2^{2} }[/tex]
[tex]=\sqrt{16+4} \\=\sqrt{20} \\=2\sqrt{5}[/tex]
Therefore, the sum of magnitude of two vectors is [tex]2\sqrt{5}[/tex]
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