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11 August, 13:16

How would we find the unit vector in the direction of v = i+j?

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  1. 11 August, 15:48
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    The vector i = and j = so the i+j==. The length of this vector is easy: |i+j| = 2-√ to make the vector i+j = a unit vector we rescale it by it's length (i. e. divide i+j by its length), v = (i+j) / (|i+j|) thus we have v = 1 / 2-√ or <1 / 2-√,1 / 2-√ > If you check the length of this vector v, you see it indeed does have length = 1. It is parallel to the vector i+j because it's components are proportional to the components of i+j=.
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