The discussion revolves around finding the midpoint of a line segment defined by two points A and B in three-dimensional space, and subsequently determining the unit vector extending from the origin toward this midpoint. The scope includes homework-related problem-solving and mathematical reasoning.
There is a general agreement on the correctness of the midpoint (1,1.5,3.5) after initial confusion regarding the midpoint formula. However, there remains uncertainty about the initial calculations and methods used to arrive at the midpoint and unit vector.
Participants have not fully resolved the initial steps leading to the midpoint calculation, and there may be dependencies on definitions of vectors and formulas that are not explicitly stated.
Students or individuals interested in vector mathematics, particularly in the context of geometry and three-dimensional space, may find this discussion relevant.
Abel I Daniel said:Homework Statement
*)Given two points A=(4,3,2) and B=(-2,0,5).Find the unit vector extending from origin toward the midpoint of line AB
Homework Equations
The Attempt at a Solution
Direction vector to AB=(-6,-3,3) and hence direction vector to its midpoint is (-3,-1.5,1.5)
So unit vector in the direction of (-3,-1.5,1.5) is (-3i-1.5j+1.5k)/√(9+2.25+2.25).
Is this the way to do it??
That is the midpoint, yes.Abel I Daniel said:oh,i got wrong with the midpoint formula..so now the midpoint is (1,1.5,3.5).is it correct??