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OK is c) x-1=(y-1)/2=z-2 the equation of the line?

I got a) I just wasn't sure about b) but got that eventually now just c) and d) also, cant see your latez for some reason

http://imgur.com/a/stANL Q2 C) I am not sure what it means w-u,u,v or how to approach. Also Q3) b,c,d I dont think my lecturer covered in any great depth and actually have no idea how to do O_o lecturer jumps so much shit. For 3) a) I got r=(1,1,1) + s(1,0,1) + t(0,2,2), but dont know how to...

2.) Consider u=(1,1,1) and v=(1,0,-1) a) compute dot product u.v and vectror w=uxv b) compute volume of parallelpiped defined by u,w,v c) consider volume of parallelpiped defined by w-u,u,v. Using properties of the dot and cross products, show that volume is equal to that of the parallelpiped...

Could you explain reasoning behind 2 and 3 pls? :D

So free variables is rank of the matrix? so 5 free variables? or 4? :/ what about the other two? EDIT: complimentary to rank OH so its 4 yea?

My notes indicate nothing on the reasoning behind this. My lecturer gave us activity page which generates random questions. Can anyone help me with this pls? Three q's http://imgur.com/a/WgClW

Yea I know the no solution part i just was wondering about how to distinguish 1 vs infinite solutions. Something about not having an identity matrix isnt it? then infinite solutions? idk

t=4 is that only solution that satisfies a)? And t not equal to 4 for c)? what about b)?

Ok :)

can u help ploxx? Im confused how to get to RRE with t's and numbers, + the rules for one, infinite and no solutions. would be helpful if someone did the question step by step so I understand for subsequent questions.

I just registered for a maths diploma and they accepted me only now after two full weeks so im trying to catch up on content How u do dis? 2. Determine the values (if any) of t in R for which the following linear system has: (a) no solutions, (b) infinitely many solutions, (c) a...

pls halp in which direction in xy plane is directional derivative at (1,1) equal to zero of f(x,y)=(x^2-y^2)/(x^2+y^2)

yes find constants, it says solve initial value problem for resonance so use the values

watch the 10.05am lecture with the german dude. He writes up everything step by step on the recording so you can see whats happening, basically everyone else writes stuff on the board at the lecture so u cant get a handle on whats going on. If u watch german dude you'll get everything you need...

m8 I got d) q(t)=2cos20t+5sqrt5.t.cos(sqrt20.t)

im not convinced either. Sqrt 20 isnt same as root 20 so I dont see why u cant just use Acos+Bsin

u doing calc 2 this sem?

is d) answer qres(t)=2cos(sqrt20.t)+(5/2)sin(sqrt20.t)-(50t/sqrt20)cos(sqrt20.t)?

Nope all good just a minus sign mess up Lel