A science communicator is creating a vector visualization for a YouTube video and needs to find a vector \(\mathbf{v} = egin{bmatrix} a \ b \end{bmatrix}\) such that \(\mathbf{v} imes \mathbf{a} = 5\), where \(\mathbf{a} = egin{bmatrix} 3 \ -4 \end{bmatrix}\) and cross product in 2D is defined as \(\mathbf{v} imes \mathbf{a} = a_1b_2 - a_2b_1\).

Wed, 15 Apr 2026 22:50:12 +0000

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