Kinematics Question 20
Question: What vector must be added to the two vectors $ \hat{i}-2\hat{j}+2\hat{k} $ and $ 2\hat{i}+\hat{j}-\hat{k}, $ so that the resultant may be a unit vector along x-axis [BHU 1990]
Options:
A) $ 2\hat{i}+\hat{j}-\hat{k} $
B) $ -2\hat{i}+\hat{j}-\hat{k} $
C) $ 2\hat{i}-\hat{j}+\hat{k} $
D) $ -2\hat{i}-\hat{j}-\hat{k} $
Correct Answer: B $ (\hat{i}-2\hat{j}+2\hat{k})+(2\hat{i}+\hat{j}-\hat{k})+\vec{R}=i $ Required vector $ \vec{R} $ = $ -2\hat{i}+\hat{j}-\hat{k} $
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