If \((x+y)\hat{\imath}+(2x-y)\hat{\jmath}+3\hat{k}=5\hat{\imath}+\hat{\jmath}+z\hat{k}\), then
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → x = 2, y = 3, z = 3
Two vectors are equal only when their corresponding components are equal:
\(x+y = 5\)
\(2x-y = 1\)
\(z = 3\)
Adding the first two equations:
\(3x = 6\), so \(x = 2\)
\(y = 5-2 = 3\)