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If for two vector $\overrightarrow A $ and $\overrightarrow B $, sum $(\overrightarrow A + \overrightarrow B )$ is perpendicular to the difference $(\overrightarrow A - \overrightarrow B )$. The ratio of their magnitude is
The angle between the vectors $\overrightarrow A $ and $\overrightarrow B $ is $\theta .$The value of the triple product $\overrightarrow A \,.\,(\overrightarrow B \times \overrightarrow A \,)$ is
If $\mathop A\limits^ \to \, \times \,\mathop B\limits^ \to \, = \,\mathop B\limits^ \to \, \times \,\mathop A\limits^ \to $ then the angle between A and B is
If $\overrightarrow A = 3\hat i + \hat j + 2\hat k$ and $\overrightarrow B = 2\hat i - 2\hat j + 4\hat k$ then value of $|\overrightarrow A \times \overrightarrow B |\,$ will be
The torque of the force $\overrightarrow F = (2\hat i - 3\hat j + 4\hat k\,)N$ acting at the point $\overrightarrow {r\,} = (3\hat i + 2\hat j + 3\hat k)$m about the origin be
If $\overrightarrow A \times \overrightarrow B = \overrightarrow C ,$then which of the following statements is wrong
If a particle of mass m is moving with constant velocity v parallel to x-axis in x-y plane as shown in fig. Its angular momentum with respect to origin at any time t will be
Consider two vectors ${\overrightarrow F _1} = 2\hat i + 5\hat k$ and ${\overrightarrow F _2} = 3\hat j + 4\hat k.$ The magnitude of the scalar product of these vectors is
Consider a vector $\overrightarrow F = 4\hat i - 3\hat j.$Another vector that is perpendicular to $\overrightarrow F $ is
Two vectors $\overrightarrow A $ and $\overrightarrow B $ are at right angles to each other, when

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