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Answer: Can the magnitude of a vector ever (a) equal, or
Chapter 28, Problem 8Q(choose chapter or problem)
QUESTION:
Problem 8Q
Problem
Can the magnitude of a vector ever (a) equal, or (b) be less than, one of its components?
Questions & Answers
QUESTION:
Problem 8Q
Problem
Can the magnitude of a vector ever (a) equal, or (b) be less than, one of its components?
ANSWER:
Problem 8Q
Step-by-step solution
Step 1 of 2
(a) The magnitude of a vector can be equal to one of its components only if all the other components of the vectors are 0. In this case, the vector must be parallel to one of the coordinate axes.
Mathematically, A = Ax where A = (Ax2 + Ay2)½ is possible when Ay = 0.