Question

Vector A has a magnitude of 8.00 units and makes an angle of 45.0° with the positive x-axis. Vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. (a) Using graphical methods, find the vector sum A + B. (Submit a file with a maximum size of 1 MB.)

Answer 1

Answer:

$C =A+B = (-8+4\sqrt{2},4\sqrt{2})$ in Rectangular coordinates

Explanation:

Hello, as we have the Vector A as its magnitude and angle representation, first step is to decompose it in rectangular coordinates so for $x= 8*cos(45)=4\sqrt{2}$ and  $y= 8*sin(45)=4\sqrt{2}$.

Then we have $A=(4\sqrt{2},4\sqrt{2})$ and $B = (-8,0)$, so we can add them directly $C = A+B = (-8+4\sqrt{2},4\sqrt{2})$