The components of vector A are given as follow: Ax = 10.5; Ay = 15.2.

What is the magnitude of the vector?

Question

The components of vector A are given as follow: Ax = 10.5; Ay = 15.2.

What is the magnitude of the vector?

BlackTom AI · Accepted Answer

The question gives the components of vector A as Ax = 10.5 and Ay = 15.2, and asks for the magnitude. 
First, recall the magnitude (length) of a vector in 2D is calculated using the Pythagorean theorem: |A| = sqrt(Ax^2 + Ay^2).
Next, compute the squares: Ax^2 = 10.5^2 = 110.25, Ay^2 = 15.2^2 = 231.04. 
Then, sum them: 110.25 + 231.04 = 341.29. 
Now take the square root: sqrt(341.29) ≈ 18.47. 
If the problem requires a decimal approximation to one decimal place, round 18.47 to 18.5. 
Note: The provided answer options field is empty in this dataset, so there are no alternative choices to evaluate. In a typical multiple-choice setup, you would compare this result to the available options and choose the one closest to 18.5, considering any specified rounding rules.

SPHY001 Practice Quiz - Unit 03 | LA043

The components of vector A are given as follow: Ax = 10.5; Ay = 15.2. What is the magnitude of the vector?

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