Find the values of x and y so that the vectors 2 i + 3 j and x i + y j : are equal.

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

Vector Algebra — Class 12 Maths Solution

ncert exercise SA NCERT,Page 440,Ex.10.2,Q.No 4

Question

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.

Step-by-step Solution

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

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Vector Algebra. Curated by Sachin Sharma. Free for all students.