Kinematics Question 130
Question: The vector that must be added to the vector $ \hat{i}-3\hat{j}+2\hat{k} $ and $ 3\hat{i}+6\hat{j}-7\hat{k} $ so that the resultant vector is a unit vector along the y-axis is
Options:
A) $ 4\hat{i}+2\hat{j}+5\hat{k} $
B) $ -4\hat{i}-2\hat{j}+5\hat{k} $
C) $ 3\hat{i}+4\hat{j}+5\hat{k} $
D) Null vector
Correct Answer: B Unit vector along y axis $ =\hat{j} $ so the required vector $ =\hat{j}-[(\hat{i}-3\hat{j}+2\hat{k})+(3\hat{i}+6\hat{j}-7\hat{k})] $ $ =-4\hat{i}-2\hat{j}+5\hat{k} $
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