Consider the following. (Assume that each point lies on the gridlines.) D A u u+v B V y 2u 8 4 2 O u I II (a) A vector i
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Consider the following. (Assume that each point lies on the gridlines.) D A u u+v B V y 2u 8 4 2 O u I II (a) A vector i
(a) A vector in the plane is a line segment with an assigned direction. In Figure I, the vector u has initial point A u+v u + v = V u u+v 2u u 2u O u+v V u 2u 2 u (b) A vector in a coordinate plane is expressed by using components. In Figure II, the vector has initial point (x, y) = 2,1 and terminal point B Sketch the vectors 2u and u + v. and terminal point (x, y) = X In component form we write u = and v = . Then 2u = and