Consider the following. u = ?2, 4, 6?, v = ?-5, -7, 0? (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v.
Added by Elizabeth V.
Close
Step 1
\[U \cdot V = 2(-5) + 4(-7) + 6(0) = -10 - 28 + 0 = -38\] Show more…
Show all steps
Your feedback will help us improve your experience
Mukesh Devi and 78 other Calculus 1 / AB 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
(a) find the projection of $u$ onto $v,$ and $(b)$ find the vector component of u orthogonal to $\mathbf{v}$. $$\mathbf{u}=\langle 8,2,0\rangle, \mathbf{v}=\langle 2,1,-1\rangle$$
Vectors and the Geometry of Space
The Dot Product of Two Vectors
Consider the following. u = 4i + 7j, v = 6i + 9j (a) Find the projection of u onto v. b) Find the vector component of u orthogonal to v.
Zhumagali S.
(a) find the projection of $u$ onto $\mathbf{v}$, and (b) find the vector component of u orthogonal to $\mathrm{v}$. $$ \begin{aligned} &\mathbf{u}=\langle 2,1,2\rangle \\ &\mathbf{v}=\langle 0,3,4\rangle \end{aligned} $$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD