Solving Physics Vector Problems: Adding, Subtracting, and Finding Equilibrium

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The discussion revolves around solving a physics vector problem involving two vectors, a and b. The user successfully computed the results for a + b and a - b but is struggling with finding a third vector c that satisfies the equation a - b + c = 0. It is clarified that vector c should be the negative of the result from a - b, effectively canceling it out to achieve equilibrium. The user expresses gratitude for the clarification and indicates understanding of the solution.
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I am having trouble with this problem I have solved most of it it is just the last part I don't understand.

Problem:
Two vectors are given by

a= ( 4.0 m)i - (3.0 m)j + (1.0 m) k



and

b= (-1.0 m)i + (1.0 m)j + (4.0 m)k


In unit-vector notation, find (a) a + b, (b)a - b, and (c) a third vector c such that a - b + c = 0.

the answers I got for letters a) and b)

a) (3.0 m)i + (-2.0 m)j + (5.0 m) k

b) (5.0 m)i + (-4.0 m) j + (-3.0 m) k

c) ?

I need help with letter c) please :)

Thanks :)
 
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kittykatxox said:
I am having trouble with this problem I have solved most of it it is just the last part I don't understand.

Problem:
Two vectors are given by

a= ( 4.0 m)i - (3.0 m)j + (1.0 m) k



and

b= (-1.0 m)i + (1.0 m)j + (4.0 m)k


In unit-vector notation, find (a) a + b, (b)a - b, and (c) a third vector c such that a - b + c = 0.

the answers I got for letters a) and b)

a) (3.0 m)i + (-2.0 m)j + (5.0 m) k

b) (5.0 m)i + (-4.0 m) j + (-3.0 m) k

c) ?

I need help with letter c) please :)

Thanks :)
You already solved a - b correctly in part (b), so now you want to find a vector c to cancel that out.
 
there is no vector c though?
 
You are asked to find a vector c such that when it is added to the vector (a -b), you get 0.
 
thank you I understand now! thanks for the help!
 
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