Question
A vector has a component of 10 m in the +x direction, a component of 10 m in the +y direction, and a component of 5 m in the +z direction
A vector has a component of 10 m in the +x direction, a component of 10 m in the +y direction, and a
component of 5 m in the +z direction. The magnitude of this vector is:
A) 0 m
B) 15 m
C) 20 m
D) 25 m
E) 225 m
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Koala Tutor
Koala Ai Support
Got a question with my answer?
To find the magnitude of the vector, we can use the Pythagorean theorem in three dimensions:
Magnitude = sqrt((10)^2 + (10)^2 + (5)^2)
Magnitude = sqrt(100 + 100 + 25)
Magnitude = sqrt(225)
Magnitude = 15 m
Therefore, the correct answer is:
B) 15 m
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