How to find the component form and magnitude of a vector

Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the terminal point. The component form of the vector formed by the two point vectors is given by the components of the terminal point minus the corresponding components of the initial point. i.e. given the initial point as P(p1, p2) and the terminal point as Q(q1, q2), the component form of the vector formed by the two vectors is given by V(q1-p1, q2-p2).

The magnitude of a vector given in component form is given by the square root of the sum of the squares of each component of the vector. i.e given a vector V(p, q), the magnitude of the vector is given by |V| = sqrt(p^2 + q^2).
#trigonometry#vectors
#vectors

[dallas]

The homie Brian out here coming through with the information my teachers are failing to provide me with during online learning 😈 💯

[tylerhansen]

You are a truly down to Earth, incredible instructor.

[chatalola]

Thank you so much for your help, you are teaching me things that my teacher never taught me. I always end up coming back to your videos. You are awesome!!!

[stephenobe]

Thanks a lot, this helped me with a section I missed. Very good walk through. Ill make sure to let my friends know about you in PreCal.

[Speakerable]

Thanks Mr. McLogan for making it clear to me ! i have a test tomorrow and this really help.

[vanji]

very nice explanation...very understandable...thank you so much for this :-) <3

[SAN_SARDAR]

Thank you so much, I have a test in this subject tomorrow and u helped me so much

[n.pallavi]

Sir please upload products of vectors chapter

[renerbakod]

Umm.. how to solve or find component with decimal ex.5I & 6.3j

[Whagsusiwiwhebrjckcfkrn]

(4, -7) (-1, 5) were the same numbers on my hw lol

[kotosqoposrly]

Every time you say "four" I understand "thorpe" :D