How do you find a unit vector that has the same direction as the given vector −5i + 9j?

1 Answer
Alan P.
Jun 20, 2016

Divide each term by the magnitude of the vector to get:
color(white)("XXX")unit vector: color(green)(-5/sqrt(106)i+9/sqrt(106)j)

Explanation:

Using the Pythagorean Theorem:
color(white)("XXX")abs(-5i+9j) =sqrt((-5)^2+9^2)=sqrt(25+81)=sqrt(106)

Related questions
See all questions in Unit Vectors
Impact of this question
31150 views around the world
You can reuse this answer
Creative Commons License