the norm of the distance is |d|=97.95 ft
the vector of the distance is d=96i+18j+27k
- Vector : a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.
- an organism, typically a biting insect or tick, that transmits a disease or parasite from one animal or plant to another.
- Step-by-step explanation:
- As per the attached image, the distance from the origin of the x y & z axis is where the vector starts and it ends at the opposite side of the room.
- Calculating the norm as the square root of the sum of each side of the rooms squared & calculating the vector as each side of the room multiplied by the i, j & k axis, the results are as mentioned above.
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Significant figures tells us that about how may digits we can count on to be precise given the uncertainty in our calculations or data measurements.
Since, one inch = 2.54 cm.
This is equivalent as saying that 1.0000000.. inch = 2.540000... cm.
Since the inch to cm conversion doesn't add any uncertainty, so we are free to keep any and all the significant figures.
Since, being an exact number, it has an unlimited number of significant figures and thus when we convert inch to cm we multiply two exact quantities together. Therefore, it will have infinite number of significant figures.
A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:
g(x) = 3x²+3x
B.) Substitute x=4 to the two functions.
f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837
g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60
C.) The percentage error is equal to:
Percentage error = |g(4) - f(4)|/f(4) * 100
Percentage error = |60 - 59.023837|/59.023837 * 100
Percentage error = 1.65%
D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.