How do you find the unit vector in the direction of v: v=4i-2j?

Question

8898 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-09T18:51:15

$(4 i - 2 j) / (2 sqrt(5))$

We have: $v = 4 i - 2 j$

Unit vectors are of the form $hat(u) = (u) / (|u|)$ :

$=> hat(v) = (v) / (|v|)$

$=> hat(v) = (4 i - 2 j) / (sqrt((4)^(2) + (- 2)^(2)))$

$=> hat(v) = (4 i - 2 j) / (sqrt(16 + 4))$

$=> hat(v) = (4 i - 2 j) / (sqrt(20))$

$=> hat(v) = (4 i - 2 j) / (2 sqrt(5))$