If A=3i+4j and B=7i+24j then find the vector having the same magnitude as B and same direction as A.

magnitude of B x UNIT VECTOR OF A

$themagnitudeofA=\sqrt{{3}^{2}+{4}^{2}}=\sqrt{9+16}=\sqrt{25}=5\phantom{\rule{0ex}{0ex}}henceunitvectorofA=\frac{\underset{A}{\to}}{\left|A\right|}=\frac{3i+4j}{5}\phantom{\rule{0ex}{0ex}}nowmagnitudeofB=\sqrt{{7}^{2}+{24}^{2}}=\sqrt{625}=25\phantom{\rule{0ex}{0ex}}hence25\times unitvectorofA\phantom{\rule{0ex}{0ex}}25\times \frac{3i+4j}{5}=5(3i+4j).$

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