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    Coplanar vectors and linear dependance

    how do i prove vectors u v w are coplanar if and only if they are linearly dependent ? i have no idea where to start.
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    Resource on induction

    In your first post. I should check my posts more carefully. The principle is that the general equation of a series is correct if it works for a number n and is n+1 i got k^2+k+2k+2=k^2+k+2k+2 by subbing in k=n into n(n+1)/2 and then taking that and subbing that into the sequence of k+1=n and...
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    Resource on induction

    im starting to get the hang of that now. however i have problems when trying to get the General formula of the series from the formula of the sequence. a example is that im asked to prove ((n^3)-n) is divisible by 6 for all n belongs to N by induction.
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    Resource on induction

    The principle is that if a series it is true for any number n it is ALSO true for the number that follows n. i solved the question above and got that k^2+3k+2==k^2+3k+2 therefore i proved this series. however the sequence is not always that easy as it it just equals n how do i find the nth term...
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    Resource on induction

    i am totally lost on this subject. like i have NO CLUE what its about or what to do or how to prove things. Can anyone recommend a good site or online resource about this induction stuff?
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    Combinations: C(28,2n)/C(24,2n-4)=225/11 Solve for n

    i am given C(28,2n)/C(24,2n-4)=225/11 where C are combonations. i am supposed to solve for n. after subbing in n and k and simplifying i get (11*28!)/2n!=(225*24!)/(2n-4)! (i am pretty sure this is correct). i do not seem to be able to continue after that. how do i solve for n?
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    Perpendicular Lines in 3 Space

    its aliright but i still have one more question. i do not understand how you got this: \vec a_1 -\vec a_2+ \vec b_1 t_1-\vec b_2 t_2
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    Perpendicular Lines in 3 Space

    okay if i do a cross product of the b vectors i will get a line that is perpendicular to both of the line but only at the origin. the line does not have to necessarily come across the origin right? so this would be the like B value of my 3rd line right? now then they want me to put the line so...
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    Perpendicular Lines in 3 Space

    i know how to get values of vector b but i don't understand how to do the calculations. i dont know how to find the a line that intersects 2 other lines and at a 90 degree angle...
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    Perpendicular Lines in 3 Space

    i am given parametric equations of 2 lines L1 and L2 and i am asked to find the vector, parametric and symmetric equation of a line that intersects these 2 lines at 90 degrees so a line that is perpendicular to those 2 lines. how do i go about this? at first i tried converting the parametric...
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    Coplanar vectors problem

    But i cant solve it there are too many variables. i subbed in the values for W vectors and then i expanded it so now i have like C(1)V(1)+C(1)V(2) etc.. then i added up all the V(1) vectors and ended with sumthing like V(1)[C(1)+C(2)]=0 then that led me to [C(1)+C(2)]=0 cause C would be the...
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    Coplanar vectors problem

    The numbers in brackets are supposed to be in subscript so V(2) would be V subscript 2 and the number in front is just multiply, all the variables are vectors so they have a arrow on top. Determine if, W(1) = 2V(1) + 3V(2) , W(2) = V(2) + 2V(3) and W(3) = -V(1) - 3V(3) are coplanar i dont...
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    3 Space Parallelogram

    Thanks HallsofIvy for correcting me. But i dont understand if im given 3 vertices i would only know 2 vectors that form the parallelepiped and one vector that is a diagonal of the parallelepiped.
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    3 Space Parallelogram

    i am given the (x,y,z) coordinates of 3 sides of a parallelogram how do i go about finding the 4 coordinate. do i find the distance between points using the same way to find vectors then try to find direction angles or something like that? because there is no slope or anything to compare too...
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    Help simplifying derivitive

    okay so how does this prove y' = y/x?
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    Help simplifying derivitive

    okay im supposed to prove the derivitive of: sqrt x/y + sqrt y/x is equal to y/x okay im stuck where i have finally isolated y' i dont know how to reduce it further im stuck with this at the moment (see attachment) can you please tell me the process you went through to simplify it?
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    Absolute values of variables

    so basically|x| means the answer is like always positive so therefor there will be a possibility of where the x is negative or -x and positvie just x right? so |x| is like F(x) rite? and if you sub x-7 for f(x) you would get like in order for x to be the positive value it would have to be...
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    Absolute values of variables

    so if |x|=(x,if x>=0, and -x, if x<0) then what would be like |x-7| be equal too and how do you do this i do not understand why |x|equals (x,if x>=0, and -x, if x<0) could you explain it to me?
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    Intersection points of the graph its solutions?

    i still dont understand i can find the points where f(t) and g(t) intersect by graphing (how do i do this by graphing?) but what do you mean by having same points as zeros?
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    Intersection points of the graph its solutions?

    The graphs of f(theta) = 2sin(theta) - 1 , and g(theta) = 3cos(theta)+2 are given. What equation would have the intersection points of the graph its solutions? ummm..... what does this mean? and how do i solve it?
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    Parabola Problem

    Given {x | -50 < x < 50}, {y | 0 < y < 20} vertex at (0,20) it is a parabola find the equation in (x-h)^2=4p(y-k) its pretty easy except how do i find p?
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    Hyperbola equations

    nope it does say that the graph is supposed to be a curved arch that will have horizontal span of 100m and a maximum height of 20m.
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    Hyperbola equations

    Using a domain of {x | -50 < x < 50} and a range of {y | 0 < y < 20}, determine the following types of equations that you could use to model the curved arch. The equation of a hyperbola in the form , where b = 10. The lower arm of the hyperbola would represent the arch...
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    Locus question

    thanks i am asked to draw a diagram that represent the locus in each of the following situations also i am asked "what is the locus of each?" a) Going down on a elevator b)sitting in a seat on a ferris wheel as it rotates c)all the points that are 2cm from a parabola d)all the point that...
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    Locus question

    is the locus of points equidistant from the two given points on the same line as the perpendicular bisector of the 2 points?
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    How do you solve for n in this question 34=r^n

    how do you solve for n in this question 34=r^n i know what the r value is man i should know this
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    Interest on principal over 5 years

    yes that is what got from the question as well that means that there are 5 payments of 6000 to the school. the hockey star pay gives only 1 one payment. so that means what i did for a) was correct right? my problem is i dont know how to sub that into the equation of Sn
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    Interest on principal over 5 years

    well if he does that then it would just be five $6000 payments and the question doesent say WHEN he is giving this money to start saving
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    Interest on principal over 5 years

    A retired hockey star wants to set up a scholarship fund to assist an underprivileged child who would like to go to a post-secondary institution. He wants to ensure that the student will have $6000 per year for five years. How much should he give to the institution, now, to ensure that this can...
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    Pendulum- Maximum displacement?

    what is the maximum displacement of a pendulum i dont know what it is. is it the distance from the central point to the end of the arm? and how do i solve it if i am given a periodic Sin function?
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