Please help me solve this math problem and show work if you can to help me understand it better.

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(1) Answers

Jeuhrich

Direction of the unit factor (-3,2)
u = u₁.i +u₂.j =-3i +2j
1- 1st find the magnitude of u
Magnitude of u --> II u II = √[(-3)² +(2)²]===> II u II = √13
To find the unit vector u, you divide vector u by the magnitude
Unit vector = u/√13, but u = u₁.i +u₂.j =-3i +2j
Then Unit vector = (-3i + 2j)/ √13
Unit vector -3i/√13 +2j/√13