Position Vectors and Displacement Vectors - Physics

This physics video tutorial provides a basic introduction into position vectors and how to use them to calculate the displacement vector.
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[@user-ex1lv8qd7i]

What if the quetion came like: given the point A(3;2)and B(1;4)write down the position vector of A and B

[@human18711]

This is quite simple problem. Let’s take A vector for example. We know that vector is made up of direction of the vector and the magnitude of the vector we already know the direction of vector A which is 3i+2j now we have the find the magnitude which is √3square+2square and multiply it with the direction. You have solved it.

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Can u explain better plz?

[@Cryptorie]

This is Cartesian vector

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İ have a question.What i j k represent

[@senaaplayz3709]

i=x axis j= y axis and k= z axis

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[@rahulratre7741]

-2j +3j=5j how

[@Monir2351]

-(2i+j+5k)+(-3i+j+4k)

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[@user-dn1en6cm2m]

a=v.∆v÷S please sir solve it

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[@sxhell_007]

First

[@tbijondagmail]

...so position vector of point A(1,2,3) is presented as rA(1,2,3) which is basically end point of vector rA and is point A, then for position vector B (5,6,7) applies same analogy, the theory says that by subtracting B position vector from A position vector gives us displacement vector, so then if we subtract B from A we get point C(4,4), so what is then point C, and what represents distance from point A to point C?, and from point B to point C, also, how displacement vector is between point A and point B if we clearly see that B change position to point C by subtracting two position vectors of point A and point B?, if B is relatively change position respectfully to point A does that mean that point C is Bs new position which mathematics represents or interpretates by position vector of point subtraction?