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

Show Answer

Answer:

Correct Answer: B

Solution:

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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