For the following exercises, the vector u and v are given. Use determinant mutation to find vector w orthogonal to vectors u and v . 200. u = 〈 1 , 0 , x 〉 , v = 〈 2 x , 1 , 0 〉 , where x is a nonzero real number
For the following exercises, the vector u and v are given. Use determinant mutation to find vector w orthogonal to vectors u and v . 200. u = 〈 1 , 0 , x 〉 , v = 〈 2 x , 1 , 0 〉 , where x is a nonzero real number
For the following exercises, the vector
u
and
v
are given. Use determinant mutation to find vector
w
orthogonal to vectors
u
and
v
.
200.
u
=
〈
1
,
0
,
x
〉
,
v
=
〈
2
x
,
1
,
0
〉
,
where
x
is a nonzero real number
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
PLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT
SOLVE BY HAND STEP BY STEP
4.- A beer at an unknown temperature is introduced into a refrigerator that has a constant temperature of 1°C. After 20 minutes, the temperature of the beer is 10°C, and after 40 minutes, the temperature of the beer is 6°C.
a) Determine the temperature at which the beer was placed inside the refrigerator.b) How long will it take for the beer to reach 2°C?
PLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT
SOLVE BY HAND STEP BY STEP
5.- It is known that the population of a certain community increases at a rate proportional to the number of people at any given moment. If the population doubled in 5 years:
a) How long will it take to triple?b) How long will it take to quadruple?
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