Given a = i + 2j and b = 2i + j, what are the magnitudes of the two vectors? Are these two vectors equal?
Given \(\overset\rightarrow{a}\) = i + 2j and \(\overset\rightarrow{b}\) = 2i + j, what are the magnitudes of the two vectors? Are these two vectors equal?
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\(|\overset\rightarrow{a}|=\sqrt{1^2+2^2}=\sqrt{5}\) and \(|\overset\rightarrow{b}|=\sqrt{2^2+1^2}=\sqrt{5}\)
The magnitudes of \(\overset\rightarrow{a}\) and \(\overset\rightarrow{b}\) are equal.
However, their corresponding components are not equal, i.e., ax ≠ bx and ay ≠ by.
Hence, the two vectors are not equal.
Magnitudes of two vectors are equal, but vectors are unequal.
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