Solving a Dot Product Vector Problem (-1,0)

[ih8calc]

Hello, I have this problem that asks the following

Homework Statement

Find two vectors v1 and v2 whose sum is (-1,0) where v1 is parallel to (5,-5) while v2 is perpendicular to (5,-5).

Could someone "walk" me thought the steps to find v1 and v2... I'm confident I can make the computations is the steps that are unknown to me... thanks in advance...

 

[Phrak]

If v1 is parallel to (5,-5) then v1 = (k5,-k5). k is an unknown that you will need to solve for.

A similar setup applies to v2. v2 is perpendicular to (5,-5) so it is parallel to (5,5).

 

[gabbagabbahey]

The first step would be to write the unknown vectors in terms of there unknown components: $v_1=(x_1,y_1)$ and $v_2=(x_2,y_2)$...what is $v_1+v_2$ in terms of these components?...what does the fact that this vector sum must be (-1,0) tell you?

 

[ih8calc]

...okay, so maybe I can't follow directions as well as I thought... I hate to ask, but could you solve it for me? it's one of those things where I'm just stumped...

 

[gabbagabbahey]

Why don't you show us what you've got? (even if you think it is wrong)

 

[HallsofIvy]

...okay, so maybe I can't follow directions as well as I thought... I hate to ask, but could you solve it for me? it's one of those things where I'm just stumped...

Since you titled this "dot product" why don't you tell us what you think the dot product is and how it is related to "perpendicular".