Solving for Unknown Vectors in Vector Addition Equations

[queenspublic]

Homework Statement

"a" vector - "b" vector = 7m(i) + -3.5m(j) + -4.5m(k)

A third vector "c" vector pops out of nowhere.

Find the new unit-vector notation such that "a" vector - "b" vector + "c" vector = 0

?m(i) + ?m(j) + ?m(k)

Homework Equations

a - b + c = 0

The Attempt at a Solution

c = b - a? <<< How do you do it backwards?

 

[NBAJam100]

You are given A-B, so they said they added another vector C...

So you have (A-B)+C=0, Since you already know A-B, you just have to find a vector that you can add to that which will sum up to zero.


remember i=x, j=y, k=z and you can only add x to x and y to x and z to z.

So its just basic math really. here is an example which should point you in the right direction.

<1,5> +<-1,-5>=<0,0>

 

[queenspublic]

Change the signs. Thanks NationalBasketballAssociationJamOneHundred!