Ax = 44.4 m and ay = 25.1 m
find the magnitude of the
vector.

The magnitude of the vector A is 51 m.

Explanation:

Given:

The horizontal component of a vector A is given as:

The vertical component of a vector A is given as:

Now, we know that, a vector A can be resolved into two mutually perpendicular components; one along the x axis and the other along the y axis. The magnitude of the vector A can be written as the square root of the sum of the squares of each component.

Therefore, the magnitude of vector A is given as:

Now, plug in 44.4 for , 25.1 for and solve for the magnitude of A. This gives,

Therefore, the magnitude of the vector A is 51 m.