The document describes how to find the unit vector that has the same direction as the vector v, which is given as 5i + 12j. It calculates the magnitude of v as 13 and derives the unit vector by dividing v by its magnitude. The final unit vector is expressed as (5i + 12j)/13.

1. Find the unit vector that has the same direction as the vector v. v = 5i + 12j The unit vector that
has the same direction as the vector v is (Simplify your answer, including any radicals. Use
integers or fractions for any numbers in the expression. Type your answer in terms of i and j.)
Solution
Given vector = v = 5i + 12j
Magnitude = IvI = sqrt[25 + 144] = 13
Unit vector = (5i + 12j)/13