A vector has the components Ax=−31m and Ay=41m. What is the magnitude of this vector? What angle does this vector make with the positive x axis?

Magnitude of vector A is  51.4 m

The angle of vector A with positive x-axis is θ=

Explanation:

Given is  

=-31m

=41m

Let and are components of a vector A,

The magnitude of vector A will be:

   =  

A  = 51.4 m

we know

 θ1=

   =

   =

Vector A is present in 2nd quadrant as x-component of vector A is negative and y-component is positive.

For finding the angle of vector with positive x-axis,

θ=180-52.9

θ=

the answer is b ) square root of 5

the answer would be a