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

`C =A+B = (-8+4√(2),4√(2))\\` in Rectangular coordinates

Step-by-step 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√(2)` and
`y= 8*sin(45)=4√(2)`.

Then we have
`A=(4√(2),4√(2))` and
`B = (-8,0)`, so we can add them directly
`C = A+B = (-8+4√(2),4√(2))`