a. What is the vector
v_(1)=(:x,y:)that describes the displacement from the point
(1,1)to the point
(1,-1)? How can we use this vector to determine the distance from the point
(1,1)to the point
(1,-1)? b. Suppose we want to draw the triangle with vertices
A=(2,3),B=(-3,1), and
C=(4,-2). As a shorthand notation, we will denote the vector from the point
Ato the point
Bas
vec(AB)i. Determine the vectors
vec(AB),vec(BC), and
vec(AC). ii. What relationship do you see among the vectors
vec(AB),vec(BC), and
vec(AC)? Explain why this relationship should hold.