Recent content by haackeDc

I'm talking about if you were only given a SINGLE REFERENCE VECTOR, not two, and then told to describe the solution set of all vectors from a given angle to that single vector. It would be a cone, wouldn't it?

For your first integral, you evaluated ∫tan(u)du incorrectly. ∫tan(u) du = ∫sin(u)/cos(u) du = -∫-sin(u)/cos(u) du So now solve for this integral, given that ∫f'(x)/f(x) dx = ln(|f(x)|) + c For your second, I'm not sure why you would use 'u' substitution, because 1/sin^2(x) = csc^2(x), which...

Question resolved. Thanks for your help everyone.

lanedance, thank you. So... interesting thought: if you were only given one reference vector, would the solution set be the shell of a cone? EDIT: If you weren't given the restriction that it had to be a unit vector

Homework Statement We are given the vectors <1,0,-1> and <0,1,1>, and are told to find a unit vector that shares an angle of (pi/3) with both of these vectors.Homework Equations a(dot)b = |a||b|cosθ The Attempt at a Solution So, from the information givin, the only thing I could think to do...

Find unit vector with a given angle to two other vectors in 3-space Homework Statement We are given the vectors <1,0,-1> and <0,1,1>, and are told to find a unit vector that shares an angle of (pi/3) with both of these vectors. Homework Equations a(dot)b = |a||b|cosθ The...

I know how I would be able to do this using projection, but am not so sure with dot products. Do I dot the normal vector with an imaginary point and then figure something out from there? If the normal is a= <a1,a2,a3> and the random point is (p1,p2,p3) If I dot them, I would get a1p1 +...

Guys... I just figured out, Dick is right... I did misinterpret the question. Thanks to my dyslexia I was reading the instructions from the section below mine to answer the questions above it... I offer my sincerest of apologies, but at the same time I am still kind of interested to see where...

We are not allowed to use the Fundamental Theorem of Calculus for this problem, we have to solve it by definition, which in this case is finding the limit of the Riemann Sum. Sorry.

I've never worked with that symbol before, but I take it it's the same as Sigma except for multiplication? Ok, and if so, the whole problem has been narrowed down to that final term you have at the end... but I am still lost as to how to get an actual number from that. I may be trying to delve...

Ok. So I take it there is some way I can rewrite it to make my life easier... but it's not clicking for me. Can I get another nudge?

I understand these laws, but am unsure how to apply them in this example. Lets set a = (2 + \frac{4}{n}i) and let's set b = ln(\frac{16}{n^{2}}i^{2}+\frac{16}{n}i+5) So by your laws I would turn it into ln[(\frac{16}{n^{2}}i^{2}+\frac{16}{n}i+5)^(2 + \frac{4}{n}i)] And I'm not exactly...

For more clarification on what I'm trying to do, watch this video:

Homework Statement Use the form of the definition of the integral to evaluate the following: lim (n \rightarrow ∞) \sum^{n}_{i=1} x_{i}\cdotln(x_{i}^{2} + 1)Δx on the interval [2, 6] Homework Equations x_{i} = 2 + \frac{4}{n}i Δx = \frac{4}{n} Ʃ^{n}_{i=1}i^{2} =...

Homework Statement So in lab, we had this setup where we had a string, two masses, and a tube. We attached one of the masses, then put the string through the tube, and attached the other mass on the other end. Then, by holding the tube, we were to spin a mass above our heads and time how...