How do you find u+v and u-v given u=<2,1> and v=<1,3>?

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Answer 1 · 2018-07-09T06:12:22

Please see the explanation below

The vectors are

$vecu=<2,1>$

$vecv= <1,3>$

Therefore,

The addition of the $2$ vectors

$vecu + vecv=<2,1> + <1,3>$

$= <2+1, 1+3>$

$= <3, 4>$

The subtraction of the $2$ vectors

$vecu - vecv=<2,1> - <1,3>$

$= <2-1, 1-3>$

$= <1, -2>$