Find all points at which |r| is a maximum.
A) (1, 0)
B) (0, 2), (2, 0)
C) (2, 0), (0, 2), (-2, 0), (0, -2)
D) (1, 1), (-1, 1)

Name: Find all points at which |r| is a maximum. A) (1, 0) B) (0, 2), (2, 0) C) (2, 0), (0, 2), (-2, 0), (0, -2) D) (1, 1), (-1, 1)
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Question

Find all points at which |r| is a maximum. 
A) (1, 0) 
B) (0, 2), (2, 0) 
C) (2, 0), (0, 2), (-2, 0), (0, -2) 
D) (1, 1), (-1, 1)

Quizplus · Accepted Answer

The maximum magnitude of a vector occurs when it is pointing in the same direction as the positive x or y axis (or their negatives). This means that the points with maximum |r| are those with coordinates (2, 0), (0, 2), (-2, 0), and (0, -2).

Find All Points at Which |R| Is a Maximum