u=6i+j and v=10i+j, find the manitude of u+v

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u=6i+j and v=10i+j

u + v = (6 + 10)i + (1 + 1)j = 16i + 2j

magnitude of u+v = square root of $$(16^{2} + 2^{2})$$ 

= square root of 256 + 4 

= square root of 260

= 16.1245154965970993.