Question

Find the vector of magnitude (5/2) units which is parallel to the vector $3\hat{i}+4\hat{j}$

Answer 1

Given Vector = $3i+4j$

Magnitude $=\sqrt{3^2+4^2}=5$

Unit vector in direction of resultant$=\frac{3i+4j}{5}$

Vector of magnitude $\frac{5}{2}$ unit in direction of resultant

$=\frac{5}{2}\times \left(\frac{3i+4j}{5}\right)=\frac{3i+4j}{2}$