How do you find the magnitude of YZ given Y(3,1) and Z(0,4)? Precalculus Vectors in the Plane Vector Operations 1 Answer Ratnaker Mehta Sep 23, 2016 #"The Magnitude=3sqrt2~~4.242#. Explanation: #Y(3,1) and Z(0,4)# #:. vec(YZ)=(0,4)-(3,1)=(0-3,4-1)," by Defn."=(-3,3).# Hence, magnitude of #vec(YZ)=||vec(YZ)||=sqrt{(-3)^2+3^2}=sqrt18=3sqrt2# #~~3(1.414)=4.242#. Answer link Related questions Question #b4ef9 What is meant by a component of a vector? How do I find the vertical component of a vector? How do i find the horizontal component of a vector? Is vector addition commutative? What happens when I multiply a vector by itself? What is the definition of vector addition? How do I do vector subtraction? What is a velocity vector? How can the law of cosines be used to find the magnitude of a resultant? See all questions in Vector Operations Impact of this question 2025 views around the world You can reuse this answer Creative Commons License