Question
The vector \(\hat{i} + x\hat{j} + 3\hat{k}\) is rotated through an angle \(\theta\) and doubled in magnitude, then it becomes \(4\hat{i} + (4x - 2)\hat{j} + 2\hat{k}\). What are the possible values of \(x\)?
The vector \(\hat{i} + x\hat{j} + 3\hat{k}\) is rotated through an angle \(\theta\) and doubled in magnitude, then it becomes \(4\hat{i} + (4x - 2)\hat{j} + 2\hat{k}\). What are the possible values of \(x\)?