Answer:
Step-by-step explanation:
Given are three vectors in set B.
To show that B is dependent
The determinant
![\left[\begin{array}{ccc}1&0&1\\0&1&2\\2&-1&0\end{array}\right] \\=1(2)-1(2) =0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%261%5C%5C0%261%262%5C%5C2%26-1%260%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D1%282%29-1%282%29%20%3D0)
Hence vectors are dependent
b) The given equation 
Let us try parametrically
These 3 vectors are collinear and hence equation would be

c) Basis for B would be only 2 dimensional
i.e. any two vectors out of 3 form basis
The basis would be (1,0,1) and (0,1,2)
Answer:
$75 - $15 - $20 = $40
Step-by-step explanation:
Given that:
Money owed by Preston to his brother = $15
Money owed by Preston to his sister = $20
Total money earned by Preston = $75
Now, the money is paid back that he owed to his sister and brother.
To find:
The expression to represent the amount of money left with Preston after clearing all his dues?
Solution:
Once Preston pays back the money that he owed to his brother and sister, he will not have all $75 left with him.
He will have lesser amount of money.
Money left with Preston = Total money earned by Preston - Money owed to brother - Money owed to sister
Putting the values given as per the question statement, we get:
Money left with Preston = $75 - $15 - $20 = $40
Therefore, the expression to represent the amount of money left with Preston =<em> $75 - $15 - $20 = $40</em>
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Answer:
13.5 m/s
Step-by-step explanation:
To start off, simply plug in the values into the equation. This is shown below...
<u>v = velocity</u>
<u>u = initial velocity</u>
<u>a = acceleration</u>
<u>t = time</u>
v = u + at ---> v = 3 + 1.5(7)
First, multiply 1.5 and 7 together. By doing so, you get 10.5. Now the equation is...
v = 3 + 10.5
To finish, simply add 3 and 10.5...
v = 3 + 10.5 ---> v = 13.5
<u>Your answer is 13.5 m/s</u>
I believe this is the answer
7/16