# Get help with vectors and spaces

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### # A local university football team has ordera national power to next yerar’s schedule.the order team has agreed to play the game guaranteed fee of $100000 .plus 25 percent of the gate receipts .assume the ticket price is$ 12 . (a) determine the number od tickets which must be sold to recover the $100000 guarantee. (b) if college official hope to net a profit of$2400000 from the game how many tickets must be sold .(c) if a sellout of 50000 fans is assured , what ticket price would allow the university to earn the desired profit of $240000. ( d) assuming a total sell out , what would total profit equal if the the$ 12price is charged.​

licencegpopc 2022-01-24

### Let $V=Span\left\{{f}_{1},{f}_{2},{f}_{3}\right\}$, where ${f}_{1}=1,{f}_{2}={e}^{x},{f}_{3}=x{e}^{x}$ a) Prove that $S=\left\{{f}_{1},{f}_{2},{f}_{3}\right\}$ is a basis of V. b) Find the coordinates of $g=3+\left(1+2x\right){e}^{x}$ with respect to S. c) Is $\left\{{f}_{1},{f}_{2},{f}_{3}\right\}$ linearly independent?

maliaseth0 2022-01-24

### How could I determine whether vectors $P<-2,7,4>,Q<-4,8,1>,\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}R<0,6,7>$ are all in the same plane?

David Rojas 2022-01-24

### Let $V={\mathbb{R}}^{3}$ and $W=\left\{\left(x,y,z\right)\mid x,y,z\in \mathbb{Q}\right\}$. Is $W\le V$? Justify your answer.So, I wrote:1) $\left(0,0,0\right)\in W$2) $\alpha ,\beta \in W$$\alpha =\left(x,y,z\right),\beta =\left({x}^{\prime },{y}^{\prime },{z}^{\prime }\right)$$\alpha ,\beta =\left(x+{x}^{\prime },y+{y}^{\prime },z+{z}^{\prime }$ so $\alpha +\beta \in W$3) $c\in \mathbb{R},\alpha \in W$$\alpha =\left(x,y,z\right)$$c\alpha =\left(cx,cy,cz\right)$ so $c\alpha \in W$Hence, $W\le V$

m4tx45w 2022-01-24

### Suppose there was a basis for and a certain number of dimensions for subspace W in ${\mathbb{R}}^{4}$.Why is the number of dimensions 2? $W=\left\{⟨4s-t,s,t,s⟩\mid s,t\in \mathbb{R}\right\}$ For instance, apparently, $\left\{⟨0,1,4,1⟩,⟨1,1,3,1⟩\right\}$ is a valid set, and it happens to be of dimension 2 in ${\mathbb{R}}^{4}$. Does a basis for ${\mathbb{R}}^{n}$ have to have n vectors?

Branden Valentine 2022-01-24

### What are the standard three-dimensional unit vectors?

jelentetvq 2022-01-24

### Let $\stackrel{\to }{{v}_{1}}=\left[\begin{array}{c}2\\ 3\end{array}\right]$ and $\stackrel{\to }{{v}_{1}}=\left[\begin{array}{c}4\\ 6\end{array}\right]$ what is the **span** of the vector space defined by $\stackrel{\to }{{v}_{1}}$ and $\stackrel{\to }{{v}_{1}}$? Explain your answer in detail?

shangokm 2022-01-24

### Prove that in a real vector space $V\cdot c\left({}^{\prime }\alpha -\beta \right)=c\cdot \alpha -c\cdot \beta$where $c\in \mathbb{R};\alpha ,\beta \in V$?

elbluffz1 2022-01-24

### Let say K and L are two different subspace real vector space V. If given $\mathrm{dim}\left(K\right)=\mathrm{dim}\left(L\right)=4$, how to determine minimal dimensions are possible for V?

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