Kinematics Question 40

Question: The vectors $ 5i+8j $ and $ 2i+7j $ are added. The magnitude of the sum of these vector is [BHU 2000]

Options:

A) $ \sqrt{274} $

B) 38

C) 238

D) 560

Show Answer

Answer:

Correct Answer: A

Solution:

Sum of the vectors $ \overrightarrow{R}=5\hat{i}+8\hat{j}+2\hat{i}+7\hat{j} $

$ =7\hat{i}+15\hat{j} $ magnitude of $ \overrightarrow{R}=|\overrightarrow{R}|=\sqrt{49+225} $

$ =\sqrt{274} $



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