Question
In Problems $43-54,$ normalize each vector $\mathbf{v} .$ What is the unit vector in the opposite direction of $\mathbf{v} ?$$$ \mathbf{v}=\frac{\sqrt{2}}{2}(\mathbf{i}-\mathbf{j}) $$
Step 1
Normalizing a vector means to scale the vector so that its length or magnitude is 1. The magnitude of a vector $\mathbf{v} = a\mathbf{i} + b\mathbf{j}$ is given by $\sqrt{a^2 + b^2}$. In this case, $\mathbf{v}=\frac{\sqrt{2}}{2}(\mathbf{i}-\mathbf{j})$, so $a = Show more…
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In Problems $43-54,$ normalize each vector $\mathbf{v} .$ What is the unit vector in the opposite direction of $\mathbf{v} ?$ $$ \mathbf{v}=\mathbf{i}-\mathbf{j} $$
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