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Question: Given :\(\overset{\rightarrow}{A}\)= \(\widehat{i}\)+ 2\(\widehat{j}\)– 3\(\widehat{k}\). When a vec...

Given :A\overset{\rightarrow}{A}= i^\widehat{i}+ 2j^\widehat{j}– 3k^\widehat{k}. When a vector B\overset{\rightarrow}{B}is added to A\overset{\rightarrow}{A}, we get a unit vector along X-axis. Then, B\overset{\rightarrow}{B} is -

A

– 2j^\widehat{j} + 3k^\widehat{k}

B

i^\widehat{i} – 2j^\widehat{j}

C

i^\widehat{i}+ 3k^\widehat{k}

D

2j^\widehat{j} – 3k^\widehat{k}

Answer

– 2j^\widehat{j} + 3k^\widehat{k}

Explanation

Solution

(i^\widehat{i}+ 2j^\widehat{j}– 3k^\widehat{k}) + B\overset{\rightarrow}{B}=i^\widehat{i}

B\overset{\rightarrow}{B}= – 2j^\widehat{j}+ 3k^\widehat{k}