The magnitude of their sum is 6 units
Resultant
The formula for calculating the resultant vector is given as:
- [tex]V=\sqrt{(\sum V_x)^2+(\sum V_y)^2}[/tex]
From the given figure, the resultant is calculated as:
[tex]V=\sqrt{[(4cos45)+(2sin45)]^2+((4sin45)+2cos45)^2} \\V=\sqrt{[2\sqrt{2}+\sqrt{2}]^2 +[2\sqrt{2}+\sqrt{2}}]^2\\V=\sqrt{18+18} \\V= 6 units[/tex]
Hence the magnitude of their sum is 6 units
Learn more on resultant force here: https://brainly.com/question/25239010
