Question

A vector parallel to $5\hat{i}+12\hat{j}$ and having a magnitude of 52 is

• A. $20\hat{i}+12\hat{j}$
• B. $20\hat{i}+48\hat{j}$
• C. $20\hat{i}+32\hat{j}$
• D. None

Answer 1

The correct option is B $20\hat{i}+48\hat{j}$

$\text{Unit Vector}$ $=\frac{5\hat{i}+12\hat{j}}{13}$
$\text{vector which is parallel to above vector and has magnitude equals to 52 is given as}$
$52\times \text{unit vector}=52\times \frac{5\hat{i}+12\hat{j}}{13}=20\hat{i}+48\hat{j}$