Kinematics Question 434

Question: What is correct?

Options:

A) $ |\vec{a}-\vec{b}|=|\vec{a}|-|\vec{b}| $

B) $ |\vec{a}-\vec{b}|\le |\vec{a}|-|\vec{b}| $

C) $ |\vec{a}-\vec{b}|\ge |\vec{a}|-|\vec{b}| $

D) $ |\vec{a}-\vec{b}|<|\vec{a}|-|\vec{b}| $

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Answer:

Correct Answer: D

Solution:

[d] $ \vec{a}-\vec{b} $ it’s nothing but addition of $ \vec{a} $ and $ -\vec{b} $ . So, the magnitude of $ \vec{a}-\vec{b} $ will lie between $ |\vec{a}|+|\vec{b}| $ and $ |\vec{a}|-|\vec{b}| $ .



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