Vectors Q (1 Viewer)

[krypticlemonjuice]

In this question, why did they add 270 to the angle??? How did they find this bearing

 

[synthesisFR]

View attachment 38874
View attachment 38875
In this question, why did they add 270 to the angle??? How did they find this bearing

the resultant vector is [-6,3]
if u put in with its tail at the origin u get a position vector (make it easier for urself to see the angles)
for the angle just take the positive values so u get 3,6. its easier this way so u dont get negative values as u can just put the negatives in urself if u need.
then the tan theta angle they got is just basic trig and this angle is with respect to the horizontal on the 4th quadrant
if u add 270 degress u get a true bearing which is what they want

if u need a digram lmk cuz i cant be bothered drawing and sending lmao unless u need it