Question
Find $b$ so that the vectors $\mathbf{v}=\mathbf{i}+\mathbf{j}$ and $\mathbf{w}=2 \mathbf{i}+3 \mathbf{j}$ are orthogonal. and $\mathbf{w}=\mathbf{i}+b \mathbf{j}$ are orthogonal.
Step 1
Two vectors \(\mathbf{v}\) and \(\mathbf{w}\) are orthogonal if their dot product is zero. That is, \(\mathbf{v} \cdot \mathbf{w} = 0\). Show more…
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