The angle between $(\overrightarrow{A} - \overrightarrow{B})$ and $(\overrightarrow{A} \times \overrightarrow{B})$ is $(\overrightarrow{A} \neq \overrightarrow{B})$. (in $^{\circ}$)

  • A
    $0$
  • B
    $45$
  • C
    $90$
  • D
    $180$

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Define the scalar product of two vectors.

Obtain the scalar product of two mutually perpendicular vectors.

$\hat{i} \cdot (\hat{j} \times \hat{k}) + \hat{j} \cdot (\hat{k} \times \hat{i}) + \hat{k} \cdot (\hat{i} \times \hat{j}) = $

If the projection of $2 \hat{i} + 4 \hat{j} - 2 \hat{k}$ on $\hat{i} + 2 \hat{j} + \alpha \hat{k}$ is zero,then the value of $\alpha$ will be.

If $|\vec A \times \vec B| = \sqrt 3 \vec A \cdot \vec B,$ then the value of $|\vec A + \vec B|$ is

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