Given the initial and terminal point, write the vector in component form

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

[rustyhanna]

Better than my shitty teacher, thank you for uploading sir are a hero.

[tobiaschapinda]

Relative to an origin O the position Vectors of the point P and Q are 3i +j and 7i-15j respectively. Given that R is the point such that 3(PR) ⃗=(RQ) ⃗. Find a unit vector in the direction (OR) ⃗

[winterrain]

when u get a vector like you showed at 1:10 where it's not starting at zero, how do you know which end should have the arrow? Is the second point always the arrow end like what you said around 1:55 ?

[misted]

This guy is so mean, he treats his students like sh** when they ask questions.