Posted by **Shaila** on Sunday, September 5, 2010 at 11:23pm.

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**, Monday, September 6, 2010 at 12:02am
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**, Monday, September 6, 2010 at 12:51pm
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**, Monday, September 6, 2010 at 1:51pm
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.

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