# Tagged Questions

30 views

### Cross Product in 3D

Hi! I am currently working on some calc2 online homework problems concerning the cross product. I understand how the cross product works, but I am not sure how to apply it to this question. I know ...
57 views

### Prove that $g(t) \times \frac{d}{dt} g(t) = 0$

If the vectorial function $r = g(t)$, with values in $\mathbb R^3$ and where $t\in\mathbb R$, is a solution of the differential equation $\frac{d^2}{dt^2} r(t) = t^2 r(t)$, such that $g(0) = 0$, ...
302 views

### Equation of plane that goes for intersection of 2 planes and is perpindicular to another plane

Really don't know what to do here, went to a tutor neither did he. Okay first the problem: Find the equation of the plane that passes through the line of intersection of the planes x − z = 2 and y + ...
42 views

### Given the normal vector n(s), determines the curvature k(s) and the torsion

Given the normal vector n(s) of a curve $\alpha$, with non zero torsion everywhere, determines the curvature k(s) and the torsion $\tau$(s) of $\alpha$. I am first trying to show the following which ...
48 views

Prove that vectors $\vec{x},\vec{y}$ (belonging to $\mathbb{R}^3$) are linearly dependent only if the following is true $$\begin{vmatrix} x_1&y_1 \\ x_2&y_2 \end{vmatrix} ... 3answers 89 views ### How do I plot a bunch of vectors in Maple and find the difference and cross product between them? Title says it all. This is the assignment I'm trying to do. http://math.rutgers.edu/~shtelen/Teaching/Fall-2013/L1_instr.pdf Data I need to plot ... 1answer 93 views ### Cross product as factor in dot product [duplicate] Given there are two vectors w,v with ||w||=4 , ||v||=1 and \phi=\frac{2\pi}{3} How do you transform the following expression into a form in which it can be computed with the given ... 2answers 69 views ### Computing cross product using norm and angle Sorry for the weird title, if someone finds a better title for my problem be my guest to edit it ;) For \mathbf{v,w}  in R³ with \mathbf{||v||=1 ;||w||=4; \theta =\frac{2\pi}{3}} Solve ... 1answer 45 views ### Find vectors vertical to given vectors with certain length Given the vectors \mathbf{u,v} in R³, determine all vectors that are vertical to \mathbf{u} and \mathbf{v} with length = 1 Every vector \mathbf{x'} that is to be found must meet these ... 1answer 385 views ### The Darboux vector is defined by D = \tau T + \kappa B. Show that T' = D \times T The Darboux Vector is defined as D = \tau T + \kappa B. Show that for a unit speed curve$$T' = D \times T \hspace{1cm} ...  Here, the $...$ represents the fact that there are a few ...
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 ...
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 ...