Physics Two Dimensional Motion Question 146

Question: If none of the vectors $ \vec{A},,,\vec{B} $ and $ \vec{C} $ are zero and if $ \vec{A}\times \vec{B}=0 $ ,$ \vec{B}\times \vec{C}=0 $ the value of $ \vec{A}\times \vec{C} $ is:

Options:

A) unity B)zero C) $ B^{2} $ D)$ ACcos\theta $

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Answer:

Correct Answer: B

Solution:

[b] For the given conditions, vectors $ \text{\vec{A}, \vec{B}} $ and $ \vec{C} $ are parallel, so $ \overrightarrow{A}\times \overrightarrow{C}=AC,\sin 0{}^\circ =0 $