# How Do You Find A Unit Vector That Has The Same Direction As The Given Vector 5i

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)##

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