Recent content by GunnaSix

The cross product of two vectors between points in the plane is normal to the plane, so we have \hat{r} = \frac{(\vec{a} - \vec{b}) \times (\vec{c} - \vec{b})}{\|(\vec{a} - \vec{b}) \times (\vec{c} - \vec{b})\|} (\vec{a} - \vec{b}) \times (\vec{c} - \vec{b}) = \vec{a} \times \vec{c} -...

Homework Statement Let \vec{a},\vec{b},\vec{c} be three constant vectors drawn from the origin to the points A,B,C. What is the distance from the origin to the plane defined by the points A,B,C? What is the area of the triangle ABC? Homework Equations The Attempt at a Solution Starting...

Depending on the loading, it has the potential to weaken the tube fairly significantly. If failure of the tube would cause an unsafe situation, I would be hesitant.

To start, if \frac{\partial u}{\partial x} = 0 , then what is \frac{\partial^2 u}{\partial x^2} = \frac{\partial}{\partial x} \left(\frac{\partial u}{\partial x}\right) ? You still need some information about \frac{\partial u}{\partial t} to solve for p(x, t), however. What is the problem...

Can you solve the first equation for F_{ab} in terms of F_{bc}? Once you do that, you should be able to plug that into the second equation and solve for F_{bc}.

Wouldn't I have to either get everything in terms of (sin a) or everything in terms of (sin 2a) to solve as a quadratic?

Made the subs, now I have 1.72 cos(2a) - 25 sin(2a) = -21.32 . What now?

Homework Statement A football kicker can give the ball an initial speed of 25 m/s. What are the least and greatest elevation angles at which he can kick the ball to score a field goal from a point 50 m in front of goalposts whose horizontal bar is 3.44 m above the ground?The Attempt at a...

To have any real chance of getting accepted by any of those "great" schools you were talking about, you do need to step it up a little. I would see what you can do about maybe teaching some grad-level classes and running your own lab. I'm also guessing that some schools might question your work...

Integer radians. Sorry if this was a super obvious question. I guess I was just thinking too much into it.

Is it safe to assume that the absolute value of sin x is greater than zero for all positive integer values of x? I have no real experience in number theory, and I don't know if you can say that there are no irrational numbers in an infinite list of integers.

Homework Statement In 1 km races, runner 1 on track 1 (with time t1 = 147.95 s) appears to be faster than runner 2 on track 2 (t2 = 148.15 s). However, length L2 of track 2 might be slightly greater than length L1 of track 1. How large can L2 - L1 be for us to still conclude that runner 1 is...

I've looked into getting my record expunged, but it seems like New York is one of the strictest states as far as this goes and it's pretty much impossible. I have a meeting with an attorney on Monday. I did complete a court-ordered alcohol treatment program after my DWI (which was the last of...

I'm 28 and in my freshman year at community college en route to becoming an engineer (mechanical or electrical, not sure yet). When I was younger (around 18-22), I partied a little too much and was arrested a few times. I have three misdemeanors: a DWI, a 2nd Degree Aggravated Harrassment (for a...

It isn't necessarily a right triangle. Try making side "a" the base and dropping a height "h" down from the opposite corner.