Using vectors to prove that DE=1/2BA

[menal]

Homework Statement

I do not know how to draw a triangle here, but basically, there is an equilalteraly tangle slightly slanted to the left, and it hs a horizontal line cutting it through the middle.
the question says:
prove using vectors that DE=1/2 BA (DE is the two endpoints of the line cutting the triangle in half)
and BA is the bottom line of the triangle...the two end points are labeled B and A.

how would i do this question?

 

[Office_Shredder]

The vertices of your triangle are vectors in R². Can you describe the two endpoints of your line DE in terms of the vertices using vector algebra?

 

[menal]

can u clarify what you mean?

 

[Mark44]

Homework Statement

I do not know how to draw a triangle here, but basically, there is an equilalteraly tangle slightly slanted to the left

Which is it? Equilateral triangle or a triangle that is slanted to the left? It can't be both. In an equilateral triangle, all interior angles are 60 deg., and all three sides are equal in length.

, and it hs a horizontal line cutting it through the middle.

This is very vague. I suspect that you mean that DE runs from the midpoint of AC to the midpoint of BC, with AC and BC being the nonhorizontal sides of the triangle, and AB being the base of the triangle.

the question says:
prove using vectors that DE=1/2 BA (DE is the two endpoints of the line cutting the triangle in half)
and BA is the bottom line of the triangle...the two end points are labeled B and A.

how would i do this question?

Considering all quantities below as vectors, DC + CE = ? AC + CB = ? What's the relationship betwee AC and DC? What's the relationship between CE and CB?