Solution: Graphical Method of Addition of Vectors in Two Dimensions (2-D)
Ans=B
Given
$\overrightarrow{a}=3\hat{i}-4\hat{j}$
unit vector in the direction of vector $\overrightarrow{a}$ is given by $\overrightarrow{a}=\frac{\overrightarrow{a}}{\left| \overrightarrow{a} \right|}$
$\hat{a}=\frac{3\hat{i}-4\hat{j}}{\sqrt{3^{2}+\left( -4 \right)}^{2}}$
$\hat{a}=\frac{3\hat{i}-4\hat{j}}{5}$
A vector in the direction of vector $\overrightarrow{a}$ that has magnitude 10 is givin by 10$\hat{a}$
10$\hat{a}$=$6\hat{i}-8\hat{j}$