JEE • Mathematics

Vectors

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formula

Position Vector, Distance and Section Formula

The vectors section begins with position vectors of points and section formula.

AB→=b⃗−a⃗\overrightarrow{AB}=\vec b-\vec a
AB=∣a⃗−b⃗∣AB=|\vec a-\vec b|
r⃗=na⃗+mb⃗m+n\vec r=\frac{n\vec a+m\vec b}{m+n}
Midpoint of AB=a⃗+b⃗2\text{Midpoint of }AB=\frac{\vec a+\vec b}{2}

Notes

  • a⃗\vec a and b⃗\vec b are position vectors of points AA and BB.