A) \[\frac{1}{\sqrt{2}}\]
B) \[\frac{3}{\sqrt{2}}\]
C) \[\frac{5}{\sqrt{2}}\]
D) \[\frac{7}{\sqrt{2}}\]
Correct Answer: C
Solution :
The component of vector \[\text{\vec{A}}\]along vector \[\text{\vec{B}}\] would be equal to A- -B- \[\vec{A}.\frac{{\vec{B}}}{|B|}=(2\hat{i}+3\hat{j}).\frac{(\hat{i}+\hat{j})}{|\hat{i}+\hat{j}|}\] \[=(2\hat{i}+3\hat{j}).\frac{(\hat{i}+\hat{j})}{\sqrt{2}}=\frac{(2+3)}{\sqrt{2}}=\frac{5}{\sqrt{2}}\]You need to login to perform this action.
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