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QUESTION

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

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)

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