All Questions
3
questions
0
votes
0
answers
24
views
How do I prove that the angle between two 2d vectors depends of sign of dot product of two 2D.?
How would you prove that given two 2D vectors in the $\vec{v} = \begin{bmatrix}
v_{1} \\
v_{2} \\
\end{bmatrix}$ and $\vec{u} = \begin{bmatrix}
u_{1} \\
...
- 11
0
votes
2
answers
452
views
Finding the angle between unit vectors
A vector $\vec{v}$ is called a unit vector if $\|\vec{v}\| = 1$.
Let $\vec{a},\vec{b}$, and $\vec{c}$ be unit vectors, such that $\vec{a} + \vec{b} + \vec{c} = \vec{0}$. Show that the angle between ...
- 35
0
votes
4
answers
144
views
Vectors and Norms
If $a$ and $b$ are vectors such that $\|a\| = 4$, $\|{b}\| = 5$, and $\|{a} + {b}\| = 7$, then find $\|2 {a} - 3 {b}\|$.
I couldn't figure out how to start off this problem. I attempted to use $$\cos ...
- 939