With respect to the origin $O$ , the position vectors of two points $A$ and $B$ are given by \

Question

With respect to the origin $O$ , the position vectors of two points $A$ and $B$ are given by $\mathbf{a}$ and $\mathbf{b}$ respectively. $C$ on $AB$ produced such that $AC=2AB$. Find the position vector of $C$ in terms of $\mathbf{a}$ and $\mathbf{b}$.

Accepted Answer

$2\mathbf b-\mathbf a$

Vectors - Ratio Theorem and Section Formula

Vectors - Ratio Theorem and Section Formula

Video Solution:

Solution:

Solution locked