Download V = 40 + j35 volts I = 6 + j3 amps The above is the pd across a circuit

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Transcript
V = 40 + j35 volts
I = 6 + j3 amps
The above is the pd across a circuit is given by the complex numbers
I am looking to find the phase difference between the phasors for voltage and current.
I am also looking to find the power by means od Vx I x cos.
Lastly I am looking for a Argand diagram showing relevant phasors.
Please provide working or explanation to answer.
V  40  j35  53.15041.1850
I  6  j3  6.70826.5650
Current is lags voltage by (41.185-26.565) = 14.620
Power =VI cosθ = 53.150*6.708*cos 14.62 = 344.986, say 345W
Argand diagram showing voltage and current are shown below.