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Acceleration in 2D

A vector A⃗...

Question

A vector $\to A$ when added to the vector $\to B = 3^i + 4^j$ yields a resultant vector that is an in the position y -direction and has magnitude equal that of $\to B$ find the magnitude $\to A$

A

\sqrt{10}

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B

10

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C

5

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D

\sqrt{15}

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Solution

The correct option is A $\sqrt{10}$
$\begin{matrix} \to A + (3 ˆ i + 4 ˆ j) = 5 ˆ j \to A = - 3 ˆ i + ˆ j ∣ ∣ ∣ \to A ∣ ∣ ∣ = \sqrt{10} ∴ o p t i o n A i s c o r r e c t . \end{matrix}$

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