HeroicEdge said:Homework Statement
Two vectors are given by a = 2.3 x - 9.7 y and b = -18.6 x + 2.8 y. What is the magnitude of a?
What is the angle between vector b and the positive x-axis?
What is the magnitude of the vector a + b?
Homework Equations
I don't know
The Attempt at a Solution
None. I don't need the answer I just need to know like the steps to do it. I missed a class and don't have a book so I don't know how to do this >.< Any help is appreciated.
Simple vector addition is a basic mathematical operation used to combine two or more vectors into a single vector. It involves adding the individual components of each vector to determine the overall magnitude and direction of the resulting vector.
Vectors are mathematical quantities that have both magnitude and direction. They are represented by an arrow pointing in the direction of the vector and have a specific length that corresponds to its magnitude.
To add vectors, you must first align them so that their tails are touching. Then, you can simply add the corresponding components of each vector (for example, the x-component of one vector with the x-component of the other) to determine the resulting vector.
The commutative property states that the order in which vectors are added does not affect the result. In other words, A + B will always equal B + A. This property is important in vector addition because it allows us to rearrange the order of vectors to make calculations easier.
Yes, you can add any number of vectors together using the same principles of simple vector addition. Simply align all the vectors so that their tails are touching and add the corresponding components to determine the resulting vector.