Question

The components of the sum of two vectors $2\hat{i}+3\hat{j}$ and $2\hat{j}+3\hat{k}$ along $x$ and $y$ directions respectively are

• A. 2 and 5
• B. 4 and 6
• C. 2 and 6
• D. 4 and 3

Answer 1

Answer: (A)

The sum of two vectors $2\hat{i}+3\hat{j}$ and $2\hat{j}+3\hat{k}=2\hat{i}+5\hat{j}+3\hat{k}$
$\therefore$ Components in $x$ and $y$ directions are $2$ and $5$ respectively.