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) \[|\vec{a}-\vec{b}|\,<|\vec{a}|-|\vec{b}|\]
Correct Answer: D
Solution :
[d] \[\vec{a}-\,\vec{b}\] is 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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