Planes Definition and 523 Threads

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Please help. Given the 3 vectors a = -21 + 3j - k, b = 41 - j + 2k and c = -3i + 2j - 3k: 1. Find the unit vector perpendicular to a and b + c. 2. Evaluate a . b x c I'm completely clueless on how to approach the first question. Any help would be great. I'm not sure which product...

Is there a point on the surface of x^2-3y^2+2z=4 where the tangent plane is parallel to the plane 2x+y-z=4? I can find a plane tangent to the surface at a certain point, but I'm lost on this one. Any help will be appretiated.

Hello, could someone please give me some help with the following question? Q. Determine all planes (in R³) orthogonal to the vector (1,1,1). This is how I started off but I am not really sure how I need to go about solving this problem. I begin(by somewhat assuming that the vector (1,1,1)...

I need to find the equation of a plane that is parallel to the plane 2x + 4y + 8z = 17 and contains the line { x = 3 +2t , y=t , z=8-t } . Not quite sure how or where to begin. Something having to do with a perpendicular vector maybe? Also, in a different problem, I need to find the...

How would you go about finding cartesian equations of intersecting planes when you have the vector equation of the line they intersect at. THere in obviously an infinate number of solution. The catch is that all the x,y,z values of the planes normals must not be 0. So I was thinking you but the...

The homework problem is confusing me a little bit especially b and c. I have attached the picture of the incline plane and object. Based on figure #1, assume the block is sliding down the inclined plane and that there is kinetic friction associated with the block and plane. Label all...

Hey guys thanks for the help on the last problem, I just had one more that I was trying to get finished studying for this big exam coming up: A block with mass m = 13.0 kg slides down an inclined plane of slope angle 32.8 ° with a constant velocity. It is then projected up the same plane...

Just before world war 2 there were many big planes and tanks that had lots of guns but were slow. People were trying to make the equivalent of battleships which had lots of guns and armor and were often faster than than smaller ships. however large planes and tanks were impractical. Why?

I am very confused regarding a few problems in Calculus III. Any help or hints to any of these would be greatly appreciated! 1.) Are lines L1 and L2 parallel? L1: (x-7)/6 = (y+5)/4 = -(z-9)/8; L2: -(x-11)/9 = -(y-7)/6 = (z-13)/12; The answer says that they are parallel, which I...

Hi, I got a few questions on ground effect : 1. When a plane lands, there is a period of ground effect, when the plane is less than 10 feet above the ground and the flight is very smooth. Can someone remind me why it is so smooth? 2. Does ground effect have any effect on regular or race...

This is my post that I posted in the calculus discussion area, but I know that there are a few people here in the same class (and using the same book!) so it's probably beneficial to post it here too. edit: go me! of course I forget to post the link lol...

This is in my multivariable course. How would I find the equation of the line where two planes meet? I worked out how to find the equation of a plane perpendicular to that line going through a point, Z, (in two planes, Ax + By + Cz +D = 0 and Ex + Fy + Gz + H = 0, take the cross product of...

Can anyone help me with parts (b) and (c) of this question: http://203.219.144.182/carl/q1ii.gif I've done parts (i) and (ii) but can anyone help with parts (iii) and (iv) http://203.219.144.182/carl/q2.gif answers for parts (i) and (ii): http://203.219.144.182/carl/q2a.jpg...

Planes and Bees Hey everyone...thanks ahead of time. This is a somehwhat general question. A person concluded that a bumble bee could not fly, and his basis was that he determined that a plane with the same design and wingspan proportions etc. could not fly. Now, of course this is wrong...

Inclined Planes and Acceleration Hi, I'm new to this forum and basically to physics itself, as I have previously concentrated my attention on the mathematical areas of calculus and algebra. I'm currently a sophomore at an Australian Catholic high school and have been recently tasked with a...

Physics Overview How would I exactly gain a basic understanding of all the basic physics topics and concepts? What materials could I use to increase my knowledge?

How can I show that 2 lines lie in the same plane? How can I get the equation of that plane? Thanks!

Could anyone help me summarize or if anyone knows good tricks in solving problems of lines intersecting with planes, etc, in 2d or 3d, the concept is same, but just want others opinion on what its basic idea is. i am able to do problems but i don't really understand them, i have to go back in my...

I need some help on this question... \rightharpoonup{r} = (0,0,5) + s(4,1,0) + t(2,0,2) which intersects the xz-coordinate plane in what line?

What is the mechanical reason why hurricanes are explored with propeller planes, and not jet planes? Is it because of the density of water in clouds therein?

i recently asked how airplanes work and i was give this answer: as velocity increases pressure decreases and the shape of the wing makes it so that the wind travels over the top of the wing faster than the bottom of the wing. so since there's a faster velocity on the top there is a lesser...

I read in an old metal working book that when a auto body panel is struck sharply with a hammer that for a microsecond or nanosecond there is a vibration or "shock waves" that allows the grains of metal to slip past one another and re-arrange slight. I am desperately looking for an explanation...