Kinematics Question 455

Question: If $ \vec{A}\times \vec{B}=(\vec{C}+\vec{D}), $ then select the correct alternative

Options:

A) $ \vec{B} $ it’s parallel to $ \vec{C}+\vec{D} $

B) $ \vec{A} $ is perpendicular to $ \vec{C} $

C) component of $ \vec{C} $ along $ \vec{A}= $ component of $ \vec{D} $ along $ \vec{A} $

D) component of $ \vec{C} $ along $ \vec{A}=- $ component of $ \vec{D} $ along $ \vec{A} $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ ( \vec{C}+\vec{D} ) $ is perpendicular to $ \vec{A} $

$ \therefore $ $ \overrightarrow{A}.( \vec{C}+\vec{D} )=0 $ or $ \vec{A}.\vec{C}+\vec{A}.\vec{D}=0 $ or A (component of $ \vec{C} $ along A) +A (component of $ \vec{D} $ along A) = 0 or Component of $ \vec{C} $ along A = ? component of $ \vec{D} $ along A.



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