Posted by Shaila on .
The vertices of a parallelogram are the origin and the points A(1,4), B(3,6), and C(7,2). Write the vector equations of the lines that make up the sides of the parallelogram

Math  vector equation of a parallelogram 
Reiny,
Are you sure your points are correct?
None of the line segments form parallel lines, (slopes are not equal) 
Math  vector equation of a parallelogram 
Shaila,
Isn't there another way to find the vector equation because they are the correct coordinates sample answers are:
[x,y]=[1,4]+t[1,1]
[x,y]=[1,4]+t[2,1] 
Math  vector equation of a parallelogram 
Reiny,
Sure, we can find the vector equations of those lines, but I hesitated since you called it a parallelogram, which it isn't.
let's find vector equation for line BC
direction vector of BC is [4,4] or simplified to [1,1)
a point on there is {3,6)
equation for BC:
[x,y] = (3,6) + t(1,1)
I still think there is something wrong with your question.