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Vectors and magnitude

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Please give the solution and step by step instructions on how to do these. I learn by examples.

1) Vector A has a magnitude of 10. Vector B has a magnitude of 7. The magnitude of the vector sum of A and B is

17
3
-3
between 17 and -3
none of these

2) To find magnitude of a vector

calc the sum of its components
calc its directions
calc the sq. root of the sum of the squares of its components
divide the vector by a unit vector
none of above

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This solution is provided in 129 words. It uses calculations to find magnitude of a vector.

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1) Vector A has a magnitude of 10. Vector B has a magnitude of 7. The magnitude of the vector sum of A and B is

17
3
-3
between 17 ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
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  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
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