Add the following Vectors A346 theta a174 degrees B278 theta

Add the following Vectors: A=346 theta a=174 degrees, B=278 theta b=328 degrees? (also what quadrant am i in?

Solution

A=346 theta a=174 degrees, B=278 theta b=328 degrees

A : A = 346( icos174 + jsin174)

= - 344.1i + 36.16j

B : B = 278(cos328i +jsin328)

= 235.75i -147.31j

A+B = - 344.1i + 36.16j +235.75i -147.31j

= -108.35i -111.15j

We are in IVrt quadrant