Question

lf $\overrightarrow{V}=3\hat{i}+4\hat{j}$ then, with what scalar 'C' must it be multiplied so that $C|\overrightarrow{V}|=7.5$:

• A. $0.5$
• B. $2.5$
• C. $1.5$
• D. $3.5$

Answer 1

Answer: (C)

$1.5$

$\overrightarrow{V}=3\hat{i}+4\hat{j}\left|\overrightarrow{V}\right|=\sqrt{3^2+4^2}=5C\times \left|\overrightarrow{V}\right|=7.5C=\frac{7.5}{5}=1.5$