Recent content by choob

the equations correspond to the matrix which has to be reduced to give the coefficients for each vector, such that their sum is zero, if the system is linearly independent other than that, ill post again later when i can wrap my head around what you said at the end haha edit: what i meant in...

Homework Statement prove, if S has m vectors in n dimensions and S is linearly independent, then n>=m Homework Equations The Attempt at a Solution so far I've come up with: there is no combination of vectors in S such that their sum is the zero vector, there exists a vector...

@dick if i complete the square i get (x-2)^2+(y-sqrt(2))^2=6 i have no idea what to do from there @ehild x(x-4)=0 when y=0 or y=2 y(2-y)=0 when x=0 or x=4 so (0, 0) is one pair y(2-y)=x(x-4) LS is +ve when 2>y>0 RS is +ve when x>4 LS is -ve when y>2 or y<0 RS is -ve when x<4 there are...

Homework Statement find all orderde pairs of integers (x,y) such that x^2+y^2=4x+2y Homework Equations The Attempt at a Solution rearrange to--> x^2=4x+2y-y^2 because x and y can only be integers, y(2-y) must be divisible by x so y(2-y)>=x y(2-y)=x(x-4) x(x-4)>=x x-4>=1 x>=5...

its not broken, all you have to do is click on the address bar and press enter, as if you were typing the url in.

http://www.freeexampapers.us/IB/Maths/Higher/2007%20May/mathsHL_May07_Markscheme_MathematicsHLpaper1TZ1.pdf my question is from that exam, question 5. in the marking scheme they go through what i mentioned in my original post to the solution.

those above steps imo are unnecessary, all i need to know is how to solve 4/3(sin theta)=theta, thanks in advance!

it does not give me the vectors to the line... there are an infinite number of possible normals to the original line

i don't know if this makes sense, but i tried to first came up with an expression for the vector i am trying to find 4-(11+3t), 5-(-8+t), 5-(4+t) (starting point of the vector subtract a point on the line) then using dot product equation, i isolated t to -7/11 is there anything flawed...

it was a question from a test that i got 0 on, the exact wording is as follows: find a vector equ ation of the line through the point (4,5,5) that meets the line (x-11)/3=(y+8)/1=(z-4)/1 at right angles i understand that the dot product of the vector i have to find and of the line given will...

Homework Statement Find the vector equation of the line through 4,5,5 that meets (x-11)/3=7+8=z+4 at right angles Homework Equations The Attempt at a Solution i have no idea where to start.

haha where do i go from there then? btw is my process that i edited in at 2:27 am correct?

-a, -b, -c is a point p, q, r are components in the x, y, z axis

thank you. i have another question: find a vector equation of the line through the point 4,5,5 that meets the line: (x-11)/3=y+8=z-4 i don't even know where to start on this one. perhaps i do the same thing as before? find the vector between 4,5,5 and the point on the line when t=0...

what is the other r in the question?