If two vectors $\to a = 3^i + 4^j$ and $\to b = 7^i + 24^j$ are given then the vector having the same magnitude as $\to b$ and same direction as $\to a$ is.......... .

15^i + 20^j

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- 15^i + 20^j

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15^i - 20^j

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15^i + 15^j

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Solution

The correct option is A $15^i + 20^j$ .
$\to v = (\begin{matrix} \sqrt{7^{2} + 24^{2}} \end{matrix}) [\begin{matrix} \frac{3^i + 4^j}{\sqrt{3^{2} + 4^{2}}} \end{matrix}]$
$= (25) (\begin{matrix} \frac{3^i + 4^j}{5} \end{matrix})$
$= 15^i + 20^j$

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Similar questions

\to a = 3^i + 4^j

\to b = 7^i + 24^j

\to b

\to a

If $\to A$ = 3 $^i$ + 4 $^j$ and $\to B$ = 7 $^i$ + 24 $^j$ , find a vector having the same magnitude as $\to B$ and parallel to $\to A$

If $A = 3^i + 4^j$ and $B = 7^i + 24^j$ , the vector having the same magnitude as B and parallel to A is

\to A = 5^i + 7^j - 3^k

\to B = 15^i + 21^j + a^k

a

20^i + 20^j

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