Find a unit vector that has the same direction as the given vector. −8, 8, 4

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15-09-2018
Mathematics

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Find a unit vector that has the same direction as the given vector. −8, 8, 4

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altavistard altavistard · Answer 1 · 2018-09-19T07:51:32+02:00

altavistard altavistard

19-09-2018

Please write out this vector as <−8, 8, 4>. The unit vector that has the same direction as this is found by dividing <−8, 8, 4> by the magnitude of <−8, 8, 4>.

This magnitude is √(64+64+16) = √144 = 12.

Thus, the desired unit vector is (1/12)<−8, 8, 4>.

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