- #1

Vatsal Goyal

- 51

- 6

## Homework Statement

In order to solve a question, I need to find the minimum and maximum resultant of three vectors, their magnitudes are given to me.

## Homework Equations

Magnitude of vector A = 1

Magnitude of vector B = 3

Magnitude of vector A = 5

## The Attempt at a Solution

The maximum part was easy, I just assumed them too be acting in the same direction and added the magnitudes to get the magnitude of the resultant(9 in this case).

But I am not sure about the minimum part. As it cannot form a triangle, it can't be zero. I am guessing that I have to assume them to be arranged parallel or antiparallel to each other in such a way that I get the minimum answer(5-3-1 = 1, in this case). Am I correct? If I am, then is there a strong reason for my answer to be true.