Hi, I just made this account. I need help to check if I did my this right.
1. Determine a vector a of opposite direction from vector b=-2i+j. The length of a is 3√5.
2. Draw in the coordinate system a vector a=3i-j
Thank you in advance
I could do with some help on an assignment for my calculus class!
This is the info given at the beginning of the assignment:
Fourier series can be seen as a generalisation of the idea of the scalar product. Consider on the one hand the ordinary vectors
v1 = (1, 1) and v2 = (1,°1), and on...
I would like to know whether I am correct in my thinking below.
You can add two vectors using basic arithmetic only when either two cases occur:
(1) the vectors are parallel to each other
(2) the vectors direction are opposite of each other (in which case, you could multiply one of the...
I'm looking for help for the following question:
I was able to figure out 12a, but I can't seem to figure out the rest of the subquestion for 12. Here are some questions I have:
For (12b) - when relocating vector b, does the new spot have to be tail-to-tail with vector c in order for...
I'm hoping someone can point out what I did wrong for the following question. My answers don't match the textbook's, so I'm assuming something is wrong.
Here is the question:
Here is my solution:
I didn't end up finishing the calculation for finding the direction since 1.24 was...
I'm currently trying to understand the general solution to a system of linear equations in vector form. Let's say that when the system is in row reduced matrix form, there is a column will all zeros. According to the image that I took from a textbook, a zero column would suggest the...
I'm in the midst of solving the question below:
I am pretty certain that b is a solution - based on the parallelogram rule (it seems to be a linear combination of c1v1 + c2v2 + 0v3). In terms of the type of solution... I'm not really sure.
One thing that I do notice, is that one of...
Decide an equation in general form for a plane that is parallel to the vectors u and v and goes thru the point P=(1, 0, 3).
Vectors: u=(1, -2, 0) v=(3, -5, 1)
If the terminology is incorrect it is because I have tried to translate it from Swedish:
"Ange, på normalform, en ekvation för det...
A pilot needs to fly 35 degrees east of north. He's flying at a speed of 105 miles per hour at fixed altitude with no wind. When he reaches a point, he encounters wind with a velocity of 15 miles per hour in the direction 10 degrees east of north. Express the velocity of the wind W as a vector...
If we consider the limit case of eg. shrinking a coin, surely at Volume=0 then the diameter of the coin will be 0? Since a coin of volume zero cannot have a diameter (to have a diameter it needs to have a volume of more than zero)?
This random question arose when studying the divergence of...
Q1. Use Stoke's theorem to evaluate int(x^2*exp(5*z) dx +x*cos y dy+3*y dz) around a closed curve C where C is defined by the parametric equation
x=0, y= 2(1+cos t), z=2(1+sin t), 0<=t<=2 Pi.
Q2. Let S denote the surface of a cylindrical solid bounded by x^2+y^2 =...
Cutting straight to the chase, I need help with the derivation best described in this video here @ 7:48: https://youtu.be/AjDSLq-Pzcs?t=7m48s
By this point in the video, Adam Beatty has already established:
x=r*cos(Φ)*sin(θ) , y=r*sin(Φ)*sin(θ) , z=r*cos(θ)
It also makes sense to...
In the link, I cant understand that why the Principal Unit Normal Vector is defined by N(t) = T'(t) / | T'(t) | ,can someone explain....
Since tangent vector is normal to principal normal vector, why the N(t)...
sketch the F(x,y)=yi + j
refer to part c , i dont understand the direction of arrow drawn , for (x,y) = (1, 0) , F(x,y) = <0,1> , why the arfow shouldnt point from (1, 0) to <0,1> ? (red arrow)
i dont undertstand .....