Question
Find a scalar a so that the vectors $\mathbf{v}$ and $\mathbf{w}$ are orthogonal.$$\mathbf{v}=\mathbf{i}+2 a \mathbf{j}-\mathbf{k}, \quad \mathbf{w}=\mathbf{i}-\mathbf{j}+\mathbf{k}$$
Step 1
Two vectors are orthogonal if their dot product is zero. So, we need to find $a$ such that $\mathbf{v} \cdot \mathbf{w} = 0$. Show more…
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