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Given vectors r1 = 2i + 2j + k and r2 = 6i − 3j + 2k, find the radius and the magnitude.
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3 stepsGiven the vectors:
The question asks for "the Radius and the magnitude". In the context of vectors, "magnitude" refers to the length of a vector. "Radius" is not a standard term for operations on two arbitrary vectors. We will interpret "the magnitude" as the magnitudes of the given vectors and . For "the Radius", we will interpret it as the distance between the two points represented by the position vectors and , which is the magnitude of the difference vector .
Find the magnitude of .
The magnitude of a vector is given by .
For :The magnitude of is .
Find the magnitude of .
For :
The magnitude of is .
Find the "Radius" (interpreted as the distance between the points represented by and ).
First, calculate the difference vector :
Now, find the magnitude of this difference vector:
The "Radius" (distance between the points) is .
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