class 12 maths vector algebra

Find the values of $x$ and $y$ so that the vectors $2\hat i + 3\hat j$ and $x\hat i + y{\hat j^:}$ are equal.

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📘 Vector Algebra NCERT,Page 440,Ex.10.2,Q.No 4 SA

Find the values of $x$ and $y$ so that the vectors $2\hat i + 3\hat j$ and $x\hat i + y{\hat j^:}$ are equal.

Official Solution

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$2\hat i + 3\hat j = x\hat i + y\hat j$
Equating coefficients of $\hat i$ and $\hat j$, we get $2 = x$ and $3 = y$.

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