Question

Given \( \mathbf{u} \) and \( \mathbf{v} \), find \( \operatorname{comp}_{\mathbf{v}} \mathbf{u} \). \[ \begin{array}{l} \mathbf{u}=(-3,0) \\ \mathbf{v}=(7,-1) \\ \operatorname{comp}_{\mathbf{v}} \mathbf{u}=\text { Ex: } 1.234 \end{array} \]

          Given \( \mathbf{u} \) and \( \mathbf{v} \), find \( \operatorname{comp}_{\mathbf{v}} \mathbf{u} \).
\[
\begin{array}{l}
\mathbf{u}=(-3,0) \\
\mathbf{v}=(7,-1) \\
\operatorname{comp}_{\mathbf{v}} \mathbf{u}=\text { Ex: } 1.234
\end{array}
\]

Given 𝐮 and 𝐯, find comp𝐯𝐮.

𝐮=(-3,0)
𝐯=(7,-1)
comp𝐯𝐮= Ex: 1.234

Added by Marc B.

Calculus, Early Transcendentals

Dennis G. Zill, Warren S. Wright 4th Edition

Chapter 11

Instant Answer

Solved by Expert Amanda Perez

Step 1

The component of \( \mathbf{u} \) in the direction of \( \mathbf{v} \), denoted as \( \operatorname{comp}_{\mathbf{v}} \mathbf{u} \), is a measure of how much of \( \mathbf{u} \) points in the direction of \( \mathbf{v} \). It is calculated using the formula: \[ Show more…

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Given \( \mathbf{u} \) and \( \mathbf{v} \), find \( \operatorname{comp}_{\mathbf{v}} \mathbf{u} \). \[ \begin{array}{l} \mathbf{u}=(-3,0) \\ \mathbf{v}=(7,-1) \\ \operatorname{comp}_{\mathbf{v}} \mathbf{u}=\text { Ex: } 1.234 \end{array} \]