How do you find the unit vector having the same direction as vector #v = –12j#? Precalculus Vectors in the Plane Unit Vectors 1 Answer Euan S. Jul 19, 2016 #hat(v) = -vec(j)# Explanation: #hat(v) = (vec(v))/(|vec(v)|)# #|vec(v)| = sqrt((-12)^2) = 12# (this is the norm or length of the vector so we take the positive root. #hat(v) = (-12vec(j))/12 = -vec(j)# Answer link Related questions What is a unit vector? How do I find the unit vector of a plane? How do I calculate a unit vector? How do I multiply two unit vectors? What are unit vectors used for? What is a direction vector? What does it mean to normalize a vector? How do you find the principal unit normal vector to the curve at the specified value of the... An airplane has an airspeed of 500 kilometers per hour bearing N45°E. The wind velocity is 60... How do you find a unit vector that is orthogonal to a and b where #a = −7 i + 6 j − 8 k# and ... See all questions in Unit Vectors Impact of this question 2399 views around the world You can reuse this answer Creative Commons License