A parallelogram is formed by vectors vectors OA=(2,3) and OB=(1,1). Find: Find the perimeter of the parallelogram.

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You need to find the length of sides of parallelogram to find the perimeter.

Notice that magnitudes of vectors provides the lengths of sides, hence you need to evaluate the magnitudes of vectors `bar OA `  and `bar OB`  such that:

`bar OA = sqrt((2-0)^2 + (3-0)^2)`

`bar OA = sqrt(4+9) `

`bar OA = sqrt 13`

`bar OB = sqrt((1-0)^2 + (1-0)^2)`

`bar OB = sqrt 2`

You need to remember that facing sides of parallelogram are of equal lengths, hence evaluating the perimeter of paralleogram yields:

`P = 2(sqrt13 + sqrt2)`

Hence, evaluating the perimeter of parallelogram yields `P = 2(sqrt13 + sqrt2).`

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