GATE 2020 ME (ME1) – Question 29
For $\vec A=2\hat j-3\hat k$, $\vec B=-2\hat i+\hat k$, $\vec C=3\hat i-\hat j$, where $\hat i,\hat j,\hat k$ are unit vectors of a right-handed rectangular Cartesian system, evaluate $\vec A\cdot(\vec B\times\vec C)+6$.
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Show answer and explanation
Correct answer: 6 to 6
Explanation
The cross product is $\vec B\times\vec C=(1,3,2)$. Dotting with A=(0,2,−3) gives 0+6−6=0. Including the final +6 printed in the question gives **6**. Omitting this final term is an OCR error.