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Given that a=i3j and b=2i+5j and \(c = 3i ...

Given that a=i3j and b=2i+5j and c=3ij, calculate |ab+c|.

A.

13

B.

313

C.

613

D.

913

Correct answer is B

Given a=i3j;b=2i+5j;c=3ij

ab+c=(1(2)+3)i+(35+(1))j=6i9j

|ab+c|=62+(9)2=36+81=117

=9×13=313