Recent content by adrimare

thanks.

Homework Statement Two related type of questions: 1) A rectangular prismic net enclosure for practising golf shots is open at one end. Find the dimensions that will minimize the amount of netting needed and give a volume of 144 m3. Netting is only required on the sides, top, and the far...

Homework Statement Solve: x^3 - 9x^2 + 15x + 30 Homework Equations The Attempt at a Solution The factors of 30 are +-1, +-2, +-3, +-5, +-6, +-10, +-15, and +-30. I used my graphing calculator and got a zero close to -1. I plugged it into the original equation and got 5, not...

That A has a y-value of 0 and B has an x-value of 0. Now what?

How?

[b]1. The problem statement: The line r=(-8,-6,-1) + s(2,2,1) intersects the xz- and yz-coordinates planes at points A and B, respectively. Determine the length of line segment AB. Homework Equations The Attempt at a Solution I know that for the line, x= -8 + 2s, y= -6 + 2s...

thanks. It was in radian mode. whoops. But what about my second related question? Can I do the same thing? And I do know about dot product, but I'm supposed to do the question without it.

Homework Statement I have two related questions related because they both ask to find angles between vectors. The first one says to determine the angles between the sides of a parallelogram determined by the vectors OA = (3,2,-6) and OB = (-6,6,-2). The second one asks to determine...

That works. I got 3x - 4y + 6z -21 = 0. I meant that I tried the stuff in your previous posts and can't match the book answer. I can't get a direction vector to be (0,6,4) or (0,3,2). Because the t-values don't work.

Yes, I did input the right question. I tried doing what you said, and it still isn't working. Oh well. Thanks.

How did you get the = 21 part of the Cartesian equation? The point (1,0,5) does not work with that. Is it just a part of the line that is not on the plane or something? Would this plane look like a cube? The question also asks for parametric and symmetric equations, but since you can get those...

That's what I got, too. Also, I made a mistake with the t-value. It was -12/29. Either way, it doesn't get me (0,6,4), which is the direction vector in the answer section of the book. Am I doing something wrong or is the book wrong?

So I did (1 - 3t, 4t, 5 - 6t) - (1,3,5) and got (3t,4t - 3,6t). So I dotted that by (-3,4,-6) and made it equal to 0. I got -9t + 16t - 12 - 36t = 0. This becomes -29t = 12, which means that t = -29/12. The answer is supposed to be (0,6,4) for the direction vector of the line I want to find...

My teacher said to forget about learning how to sketch, so that's out. Is the normal to the plane (1,0,0) then? So (0,4,0) and (0,0,-2) are both on the plane. How would I stick those points on a plane with a Cartesian equation of x=0, then? I need to get a D-value, which I can get from points, I...

Am I wrong in using parametric equations? So far, I have tried the substitution method because I can't think of another way to do it. For the x-value of the first line, I got -3 + 3t = 6 + 3s. I simplified to get t = (9 + 3s)/3, which turns into t = 3 + s. I went to the y-value of the first...