Question

How can you find the magnitude of a vector v→=

, where the horizontal change is x and the vertical change is y?

Answer 1

The magnitude of a vector is its length.

To calculate the magnitude of a vector in any number of dimensions, square root the sum of the squares of each dimension.

Therefore, if
`\vec v=(x,y)` then its magnitude is:

`|v|=√(x^2+y^2)`

Similarly, if
`\vec v=(x,y,z)` then its magnitude is:

`|v|=√(x^2+y^2+z^2)`