Find Vector u Midpoint (-2,-4,0) to (10,6,0) and (1,-4,4) to (5,8,-10)

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To find vector u, first calculate the midpoints of the given points: the initial midpoint between (-2,-4,0) and (10,6,0) is (4,1,0), while the terminal midpoint between (1,-4,4) and (5,8,-10) is (3,2,-3). The vector u can then be determined by subtracting the coordinates of the initial midpoint from those of the terminal midpoint. This results in vector u = (3-4, 2-1, -3-0), which simplifies to u = (-1, 1, -3). Understanding the relationship between initial and terminal points is crucial for accurately defining the vector.
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Homework Statement



Find the vector u=(xyz) whose

(i) initial point is the midpoint of (-2,-4,0) and (10,6,0)

(ii) terminal point is the midpoint of (1,-4,4) and (5,8,-10)

Homework Equations



I know the midpoint for two vectors from say..P to Q is P+ (1/2) (Q1-P1 Q2-P2, Q3-P3)

The Attempt at a Solution



I can find mids for both..but am confused by the initial midpoint to terminal midpoint..what else do I need?
 
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i think read start & end of the vector u, for initial & terminal respectively. The midpoint just let's you find where they are
 

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