Question
Find the projection of $\mathbf{u}$ onto $\mathbf{v}$. Draw a sketch in Exercises 40 and 41.$$\mathbf{u}=\left[\begin{array}{l}0.5 \\1.5\end{array}\right], \mathbf{v}=\left[\begin{array}{l}2.1 \\1.2\end{array}\right]$$
Step 1
This is done by multiplying corresponding elements of the vectors and adding the results. So, we have: $$\mathbf{u} \cdot \mathbf{v} = (0.5 \times 2.1) + (1.5 \times 1.2) = 1.05 + 1.8 = 2.85$$ Show more…
Show all steps
Your feedback will help us improve your experience
Sikandar Baig and 64 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the projection of $\mathbf{u}$ onto $\mathbf{v}$. Draw a sketch in Exercises 40 and 41. $$\mathbf{u}=\left[\begin{array}{r} 3 / 5 \\ -4 / 5 \end{array}\right], \mathbf{v}=\left[\begin{array}{l} 1 \\ 2 \end{array}\right]$$
Vectors
Length and Angle: The Dot Product
Find the projection of $\mathbf{u}$ onto $\mathbf{v}$. Draw a sketch in Exercises 40 and 41. $$\mathbf{u}=\left[\begin{array}{r} 3.01 \\ -0.33 \\ 2.52 \end{array}\right], \mathbf{v}=\left[\begin{array}{r} 1.34 \\ 4.25 \\ -1.66 \end{array}\right]$$
Find the projection of $\mathbf{u}$ onto $\mathbf{v}$. Draw a sketch in Exercises 40 and 41. $$\mathbf{u}=\left[\begin{array}{r} -1 \\ 1 \end{array}\right], \mathbf{v}=\left[\begin{array}{r} -2 \\ 4 \end{array}\right]$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD