Vector overrightarrow (v)_(1) is 6.6 units long and points along the nega- tive x axis . Vector overrightarrow (V)_(2) is 8.5 units long and points at +55^circ to the positive x axis. (a)What are the x and y components of each vector'? (b ) Determine the sum overrightarrow (V)_(1)+overrightarrow (V)_(2) (magnitude and angle).

To solve this problem, we need to break down each vector into its x and y components using trigonometric functions. Then, we'll sum the vectors by adding their respective components. Finally, we'll calculate the magnitude and angle of the resultant vector.### (a) Finding the x and y components of each vector#### Vector :- Magnitude: 6.6 units- Direction: Along the negative x-axis (which is or )The x and y components are: #### Vector :- Magnitude: 8.5 units- Direction: to the positive x-axisThe x and y components are: Using a calculator: So, ### (b) Determining the sum To find the sum, we add the corresponding components of the vectors: Now, we calculate the magnitude of the resultant vector: Next, we find the direction (angle) of the resultant vector: Since the angle is negative and we need it to be positive, we add to get the direction relative to the positive x-axis: ### Summary:(a) The x and y components are:- \(\overrightarrow{v}_1 = (-6.6, 0)\)- \(\overrightarrow{V}_2 = (4.85, 6.96)\)(b) The sum has:- Magnitude: units- Angle: to the positive x-axis