A) \[\sqrt{132}+\]
B) \[\sqrt{136}\]
C) \[\sqrt{136}\]
D) \[\sqrt{202}\]
Correct Answer: D
Solution :
Given, \[\vec{A}=\hat{6}+7\hat{j}+0\hat{k}\]and\[\vec{B}=3\hat{i}+4\hat{j}+0\hat{k}\] Sum of two vectors \[=\vec{A}+\vec{B}\] \[=(6\hat{i}+7\hat{j}+0\hat{k})+(3\hat{i}+4\hat{j}+0\hat{k})\] \[=(6\,+3)\,\hat{i}+(7+4)\hat{j}+(0+0)\hat{k}\] \[=9\hat{i}+11\hat{j}\] Therefore, magnitude of the sum of twovectors \[=\sqrt{{{(9)}^{2}}+{{(11)}^{2}}}\] \[=\sqrt{81+121}\] \[=\sqrt{202}\]
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