How to find the component form 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

[alexandriabudd]

These videos have been lifesavers. Thanks for explaining since my teacher can't!

[trumanrountree]

Taking an AP Physics C entrance exam tomorrow and vectors are a large component of the test. Your videos really helped me a lot! thank you

[RandomMan]

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[fahadfaruqi]

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[EfeAikpokhio]

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[MellowJustin]

5 years later your videos are just as helpful

[darkyte]

The sequel to snakes on a plane: Vectors on a Plane

[waitotong]

Student: Is this going to get much harder?
Teacher: Yes
Student: no...


Basically every math class

[Codyhowie]

Thanks for this video, I will hopefully not struggle with vectors anymore.

[jahkitaharrison]

How do you determine which x value you should start with ?

[Tokyodragonxx]

You just helped me a lot with my Geometry homework. Great video! Thanks.

[Madmun]

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[nathantribble]

Better than my professor and the textbook

[MrWhoadudewhoa]

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[natalie_lau]

Is it always the first point (the top one) minus the second point? Can it also be (P1-Q1, P2-Q2)?

[cumarjiivii]

Thanks dear teacher real i like maths very much, now we would have liked to teach us how to find the component of verctors and its magnitude

[sergiomedina]

Thank you very much teacher. That was a nice explanation.

[halamoussa]

Thank you for explaining, but can you explain for me how to find the coordinates of midpoint of a segment please i need to understand it

[pzzaisawesome]

I was so happy when he put the end parenthesis on (4, 2)

[Aqman]

There's nobody else in the room...