How to find the angle and magnitude of a vector

In this video I will work through finding the angle and the magnitude of a vector in front of my classroom. The magnitude is the length of the vector and angle is the direction in standard form.

👨‍👩‍👧‍👧About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.

[Billsomebody]

Thank you so much for having these equations on here! I'm gonna be honest YouTube is my tutor lol Videos like this makes learning much less confusing and stressful than what was taught on zoom today . Many thanks!

[masqueraid]

Thank reason for your videos. Some people for some reason can't just put in the formula "add 180" I was going insane. This is why I hated my math teacher who told us to just use the calculator.

[f.a.]

I know this video is 2 years old now but I am teaching myself and have been looking for this exact calculation for days 😐 and didn't even realise it could be this simple 😅 thank you very much 😄

[andreadeharo]

Finally! Something relatable that I was doing before quarantine

[SRCs]

Warning, don't do trig with the radian mode on, don't be dumb like me

[abrahami]

Thank you so much! you really helped me! 🙏

[rahelbakr]

Sir, could you tell me what to add for each of the second, third, and fourth quadrants to find the directional angle? is it 180+theta for the second and third, and 360-theta for the fourth( but not gonna take the negative sign if theta is negative)? Your reply will be absolutely appreciated. Thank you in advance!

[MalcomWali]

I'm troubled with this question please can you help me out.
If p represents a force of 20 Newtons in a direction S40°E and q represents a force of 30 Newtons in the direction N30°E, use trigonometry methods to find the magnitude and direction of p+q??

[ajthouzand]

lmao the way it all finally clicked just off a simple video, thank u

[cashmccurley]

Wait so will we always be using tan to get the degree? If not then can someone please explain what to do. Thank you!

[hfsubliminal]

Do u always add 180 to it if it’s not in the first quadrant?

[paulojonathan]

so nobody asked why it was used the Y component of the vector in this case the -2 and not X component, such as tan-1(5/2)? Why it's the
Y and not the X?