Tagged Questions
0
votes
1answer
15 views
Cross product as factor in dot product
Given there are two vectors $w,v$ with $||w||=4$ , $||v||=1$ and $\phi=\frac{2\pi}{3}$
How do you transform the following expression into a form in which it can be computed with the given ...
0
votes
1answer
38 views
Computing cross product using norm and angle
Sorry for the weird title, if someone finds a better title for my problem be my guest to edit it ;)
For $\mathbf{v,w} $ in R³ with $\mathbf{||v||=1 ;||w||=4; \theta
=\frac{2\pi}{3}}$
Solve ...
1
vote
1answer
30 views
Find vectors vertical to given vectors with certain length
Given the vectors $\mathbf{u,v}$ in R³, determine all vectors that are
vertical to $\mathbf{u}$ and $\mathbf{v}$ with length = 1
Every vector $\mathbf{x'}$ that is to be found must meet these ...
1
vote
3answers
239 views
Area of a parallelogram (linear algebra)
Find the area of a parallelogram with vertices $(-1,-1), (4,1), (5,3), (10,5)$.
0
votes
1answer
115 views
The Darboux vector is defined by $D = \tau T + \kappa B$. Show that $T' = D \times T$
The Darboux Vector is defined as $D = \tau T + \kappa B$. Show that for a unit speed curve
$$T' = D \times T \hspace{1cm} ... $$
Here, the $...$ represents the fact that there are a few ...
2
votes
1answer
317 views
invariance of cross product under coordinates rotation
Question goes as
If $\vec A$ and $\vec B$ are invariant under rotation, the prove that $ \vec A \times \vec B $ is also invariant.
However solution of on the other page is not given. Says ...
1
vote
1answer
2k views
Fleming's “right-hand rule” and cross-product of two vectors
I have been throwing around hand gestures for the past hour in a feeble attempt at trying to solve this question involving a cross product of two vectors $a$ x $b$. So far, I haven't found any ...
