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erma4kov [3.2K]
3 years ago
13

Let vector a={1,1,1} and b={2,-1,-1} the angle between two vectors is

Mathematics
1 answer:
ella [17]3 years ago
5 0

Answer: The answer will probabily be "undfined" or "error"

Step-by-step explanation: firtst u need to find the dot product of both a and  b (a.b).

then the magnitude of both (√a ,√b)

then u substitute them into the equation

∅=cos-1(a.b/√a x √b)

u will find it to be error bcoz  it will be (0/√3 x 0)

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An electronic office product contains 5100 electronic components. Assume that the probability that each component operates witho
AURORKA [14]

Answer:

The probability that 2 or more of the original 5,100 components may fail during the useful life of the product is:

= 0.001

Step-by-step explanation:

Probability of operating without failure = 0.999

The probability of failed component = 0.001 (1 - 0.999)

The number of components of the electronic office product = 5,100

The number of components that may fail, given the above successful operation = 5.1 (0.001 * 5,100).

Therefore, the probability that 2 or more of the original 5,100 components may fail during the useful life of the product = 0.001

Probability of component failure is the likelihood that a component fails during the useful life of the product.  It is expressed as the number of likely failed components divided by the total number of components.  This result can be left in decimal form or expressed as a percentage.

7 0
3 years ago
I need help with #6 please.
Juliette [100K]

9514 1404 393

Answer:

  6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)

  7. (a, b, C) ≈ (180.5, 238.5, 145°)

Step-by-step explanation:

My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.

__

We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.

6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°

The other angles can be found by permuting the variables appropriately.

  B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°

The third angle can be found as the supplement to the other two.

  C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°

The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).

__

7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.

  C = 180° -A -B = 145°

  a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49

  b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52

The measures (a, b, C) are about (180.5, 238.5, 145°).

7 0
3 years ago
Solve –3x = 36 for x. A. x = 9 B. x = 12 C. x = –12 D. x = –9
lawyer [7]

Answer: C

Step-by-step explanation:

-3x=36

Divide -3 by both sides

x=-12

8 0
3 years ago
What is the volume of a cylinder with a diameter equal to 6 and height equal to 8? Let pi = 3.14.
Sindrei [870]
Volume of a cylinder is pi*(radius)^2* height. pi is 3.14 and radius is half of diameter which would be 3. height is 8. Thus volume of a cylinder in your case is pi*9*8 or 72*pi which is approximately 226.19
8 0
3 years ago
Construct 98% confidence intervals based on the following data: 49, 38, 67, 69, 58, 70, 66, 85.​
Orlov [11]

Answer:

May I have a little more context please?

Step-by-step explanation:

6 0
3 years ago
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