Kinematics Question 12
Question: Magnitude of vector which comes on addition of two vectors, $ 6\hat{i}+7\hat{j} $ and $ 3\hat{i}+4\hat{j} $ is [BHU 2000]
Options:
A) $ \sqrt{136} $
B) $ \sqrt{13.2} $
C) $ \sqrt{202} $
D) $ \sqrt{160} $
Correct Answer: C $ \vec{R}=\vec{A}+\vec{B} $ = $ 6\hat{i}+7\hat{j}+3\hat{i}+4\hat{j} $ = $ 9\hat{i}+11\hat{j} $ $ |\vec{R}|\ =\ \sqrt{9^{2}+11^{2}}=\sqrt{81+121}=\sqrt{202} $
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