calculus

If 'a' and 'b' are unit vectors that make an angle of 60 degrees with each other, calculate
l 3a - 5b l and l 8a + 3b l

the 'a' and 'b' have a carat of top of them

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  1. Let a=<1,0>
    Then b=<1/2,√3/2>
    Now you just add the components.
    For example,
    2a+3b = <2,0>+<3/2,3√3/2>
    and |2a+3b|=√((2+3/2)^2+(0+3√3/2)^2) = √(49/4 + 27/4) = √76/2 = √19

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