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

Question

With respect to the origin $O$ , the position vectors of two points $A$ and $B$ are $\left( \mathbf{i}+\mathbf{j}-2\mathbf{k} \right)$ and $\left( -2\mathbf{i}+7\mathbf{j}-\mathbf{k} \right)$ respectively. $C$ is a point produced on line $AB$ such that $5AB=2AC$. Find the position vector of $C$.

Accepted Answer

$-\frac{13}{2}\mathbf i+16\mathbf j+\frac{1}{2}\mathbf k$

Vectors - Ratio Theorem and Section Formula

Vectors - Ratio Theorem and Section Formula

Video Solution:

Solution:

Solution locked