To find the midpoint of a line AB,with the given points A and B

[Abel I Daniel]

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??

 

[NascentOxygen]

I doubt that you have begun this correctly, but my maths is very rusty.

Perhaps you should take another look at it by first calculating the midpoint of line AB.

 

[LCKurtz]

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??

No. Look up the formula for the mid-point between two points.

 

[Abel I Daniel]

oh,i got wrong with the midpoint formula..so now the midpoint is (1,1.5,3.5).is it correct??

 

[NascentOxygen]

oh,i got wrong with the midpoint formula..so now the midpoint is (1,1.5,3.5).is it correct??

That is the midpoint, yes.