The coordinates of point $A$ and point $B$ are $(5,3)$ and $(2.5,-1)$ respectively. Given th

Question

The coordinates of point $A$ and point $B$ are $(5,3)$ and $(2.5,-1)$ respectively. Given that $\overrightarrow{OC} = \overrightarrow{OA} - 3\overrightarrow{OB}$, find the column vector $\overrightarrow{OC}$. $\overrightarrow{ST} = \begin{pmatrix} a \ b \end{pmatrix}$, $|\overrightarrow{ST}| = 13$ units and $\overrightarrow{ST}$ is parallel to $\overrightarrow{OC}$. Find the value of $a$ and of $b$ if $a > 0$.

Accepted Answer

(a) $\begin{pmatrix}-\dfrac52\6\end{pmatrix}$ (b) $a=5,\ b=-12$

Resultant Vector Calculations in Cartesian Form

Resultant Vector Calculations in Cartesian Form

Video Solution:

Solution:

Solution locked