Vectors Question 209

Question: If $ \vec{a}\times \vec{b},+\vec{c}=0, $ then $ \vec{a}\times \vec{b}, $ is

Options:

A) $ \vec{a}\times \vec{b} $

B) $ \vec{c}\times \vec{b}, $

C) $ \vec{a}\times \vec{c} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ \vec{a},+\vec{b},+\vec{c}=0 $

$ \

Therefore $ $ \vec{a},+\vec{c}=-\vec{b} $

$ \

Therefore $ $ (\vec{a},+\vec{c}),\times ,\vec{b},=-\vec{b},\times ,\vec{b}=0 $ or $ (\vec{a},\times ,\vec{b}),+,(\vec{c}\times ,\vec{b})=0 $ or $ \vec{a}\times ,\vec{b},=\vec{b}\times ,\vec{c} $