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Math  /  Geometry

QuestionResolve the vectors shown in the figure below into components. (Here, the vectors i⃗=i\vec{i}=\mathbf{i} and j⃗=j\vec{j}=\mathbf{j}.) a⃗=□i+□jb⃗=□i+□jv⃗=□i+□jw⃗=□i+□j\begin{array}{l} \vec{a}=\square \mathbf{i}+\square \mathbf{j} \\ \vec{b}=\square \mathrm{i}+\square \mathrm{j} \\ \vec{v}=\square \mathrm{i}+\square \mathrm{j} \\ \vec{w}=\square \mathrm{i}+\square \mathrm{j} \end{array}

Studdy Solution
Identify the components of vector w⃗\vec{w}:
The vector w⃗\vec{w} points to (-2, -2), so its components are:
w⃗=−2i−2j \vec{w} = -2\mathbf{i} - 2\mathbf{j}
The components of the vectors are:
\begin{align*} \vec{a} &= 3\mathbf{i} + 3\mathbf{j}, \\ \vec{b} &= -1\mathbf{i} + 3\mathbf{j}, \\ \vec{v} &= 3\mathbf{i} - 1\mathbf{j}, \\ \vec{w} &= -2\mathbf{i} - 2\mathbf{j}. \end{align*}

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