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The vector {{i}}+{x}{{j}}+{3}{{k}} is rotated through an angle

Question

The vector $\hat{i} + x \hat{j} + 3 \hat{k}$ is rotated through an angle $θ$ and doubled in magnitude, then it becomes $4 \hat{i} + (4 x - 2) \dot{\hat{j}} + 2 \hat{k}$ . Then value of $x$ are $- \frac{2}{3}$ (b) $\frac{1}{3}$ (c) $\frac{2}{3}$ (d) 2

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Noah Discussed

The vector

\hat{i} + x \hat{j} + 3 \hat{k}

is rotated through an angle

θ

and doubled in magnitude, then it becomes

4 \hat{i} + (4 x - 2) \dot{\hat{j}} + 2 \hat{k}

. Then value of

x

are

- \frac{2}{3}

(b)

\frac{1}{3}

(c)

\frac{2}{3}

(d) 2

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Question Text

The vector

\hat{i} + x \hat{j} + 3 \hat{k}

is rotated through an angle

θ

and doubled in magnitude, then it becomes

4 \hat{i} + (4 x - 2) \dot{\hat{j}} + 2 \hat{k}

. Then value of

x

are

- \frac{2}{3}

(b)

\frac{1}{3}

(c)

\frac{2}{3}

(d) 2

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