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Question
Given a + b + c + d = 0, state whether the following statement is correct or incorrect:
The magnitude of a can never be greater than the sum of the magnitudes of b, c, and d.
Options
Correct
Incorrect
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Solution
This statement is correct.
Explanation:
The magnitude of a can never be greater than the sum of the magnitudes of b, c, and d.
∴ a + b + c + d = 0
∴ |a| = |b + c + d|
But |b + c + d| ≤ |b| + |c| + |d|
∴ |a| ≤ |b| + |c| + |d|
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