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Question

For any two vectors a and b


A

|a - b| = |a + b|

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B

|a - b| = |a| - |b|

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C

|a - b| ≥ |a| - |b|

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D

|a + b| ≤ |a - |b|

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Solution

The correct option is C

|a - b| ≥ |a| - |b|


For any two vectors a and b, the magnitude of difference of two vectors is always greater than the difference of individual mangnitudes.

Therefore, |a - b| ≥ |a| - |b|


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