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  •  are such that <img alt="\vec{a}+\vec{b}=\hat{i}-\hat{j}+\hat

\vec{a},\vec{b},\vec{c} are such that \vec{a}+\vec{b}=\hat{i}-\hat{j}+\hat{k}, \vec{c}=\hat{k},\: \: \vec{b}+\vec{c}=2\hat{i}+\hat{j} than \vec{a} equals,

Option: 1

3\hat{i}+2\hat{k}


Option: 2

\hat{i}+2\hat{j}-2\hat{k}


Option: 3

-\hat{i}-2\hat{j}+2\hat{k}


Option: 4

\hat{i}+2\hat{j}+2\hat{k}


Answers (1)

best_answer

As we learned

laws of vector addition -

(\vec{a}+\vec{b})+\vec{c}=\vec{a}+(\vec{b}+\vec{c})

- wherein

Vectors addition is associative.

 

 \Rightarrow \vec{a}=\left ( \vec{a}+\vec{b} \right )+\vec{c}-\left ( \vec{b}+\vec{c} \right )

\Rightarrow \vec{a}= (\hat{i}-\hat{j}+\hat{k})+\hat{k}-(2\hat{i}+\hat{j})=-\hat{i}-2\hat{j}+2\hat{k}

\therefore option(C)

 

Posted by

vishal kumar

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