We have to find the absolute value of the vector z = u + v if u = i - j and v = 2i + 4j.

z = u + v

=> z = i - j + 2i + 4j

add the terms with i and those with j

=> z = 3i + 3j

The absolute value of z = 3i + 3j is

sqrt ( 3^2 + 3^2)

=> sqrt (2*9)

=> 3 sqrt 2

**Therefore the required absolute value of the vector z is 3*sqrt 2.**

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