If you know the components of a vector, what mathematical relationship can be used to find the magnitude of the vector?

If you know a vector’s vertical and horizontal components you have to only find  hypotenuse of a right triangle.

You can use the Pythagorean theorem (x2 + y2 = h2),

h=sqrt(x2+y2)

when  you know the horizontal and vertical components of a vector, you can use the tangent to find the angle because

tan(theta)=y/x

theta= inverse tangent y/x:

this will tell you direction

The mathematical expression is        

Step-by-step explanation:

Given if we know the components of a vector, then we have to find what mathematical relationship can be used to find the magnitude of the vector.

In two-dimensional coordinate system, any vector can be broken into two components x and y -component.

The vector v and its components horizontal and vertical components form a right angled triangle as shown in attachment below.

Using the Pythagoras Theorem in the right triangle

⇒

The above mathematical relationship can be used to find the magnitude of the vector.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

take it another