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(Solved): a. What is the vector v_(1)=(:x,y:) that describes the displacement from the point (1,1) to the poin ...



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

A

to the point

B

as

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.



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