For any two vectors vec{a} and vec{b},which o | vedclass

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(D) According to the triangle inequality for vectors,for any two vectors $\vec{a}$ and $\vec{b}$,the magnitude of their sum is always less than or equ

Vedclass · Accepted Answer

None of the above

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(D) According to the triangle inequality for vectors,for any two vectors $\vec{a}$ and $\vec{b}$,the magnitude of their sum is always less than or equal to the sum of their magnitudes: $|\vec{a} + \vec{b}| \leq |\vec{a}| + |\vec{b}|$. Similarly,for the difference of vectors,the magnitude is greater than or equal to the difference of their magnitudes: $|\vec{a} - \vec{b}| \geq ||\vec{a}| - |\vec{b}||$. None of the given options $A$,$B$,or $C$ represent a universally true statement for any two arbitrary vectors. Therefore,the correct option is $D$.

For any two vectors $\vec{a}$ and $\vec{b}$,which of the following statements is true?

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