A) \[{{A}^{\to }}\] and \[{{B}^{\to }}\]
B) \[{{A}^{\to }}\] and \[{{C}^{\to }}\]
C) \[{{A}^{\to }}\] and \[{{D}^{\to }}\]
D) \[{{C}^{\to }}\]and \[{{D}^{\to }}\]
Correct Answer: C
Solution :
\[\vec{A}=6\hat{i}+8\hat{j}\] \[\vec{B}=210\hat{i}+280\hat{k}\] \[\vec{C}=5.1\hat{i}+6.8\hat{j}=\frac{1}{20}(6\hat{i}+8\hat{j})\] \[\vec{D}=3.6\hat{i}+8\hat{j}+4.8\hat{k}\] Hence, it is clear that\[\text{\vec{A}}\] and\[\vec{C}\] are parallel and we can write as \[\vec{A}=\frac{1}{20}\vec{C}\] This implies that\[\text{\vec{A}}\]is parallel to\[\vec{C}\] and magnitude of \[\text{\vec{A}}\] is \[\frac{1}{20}.\]You need to login to perform this action.
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