The area of the parallelogram formed by the vectors $\vec{A} = 3\hat{i} + \hat{j} + 2\hat{k}$ and $\vec{B} = \hat{i} - 2\hat{j} - 4\hat{k}$ is:

The component of $\overrightarrow A$ along $\overrightarrow B$ is 2 times that of the component of $\overrightarrow B$ along $\overrightarrow A$. Then A : B is

If two vectors $\vec{A}$ and $\vec{B}$ are parallel to each other, then their cross product $\vec{A} imes \vec{B}$ is:

If $\overrightarrow A = 2\hat i + 3\hat j + 4\hat k\,\,and\,\,{\rm{\vec B}} = 4\hat i + 3\hat j + 2\hat k$, then angle between $\overrightarrow A$ and ${\rm{\vec B}}$ is

What is the angle between $\hat i + \hat j + \hat k\,and\,\hat i$

Projection of ${\rm{\vec P}}\,{\rm{on}}\,{\rm{\vec Q}}\;$ is

If $\overrightarrow A \, imes \,\overrightarrow B = \overrightarrow B \, imes \,\overrightarrow A$, then the angle between A and B is

The vector projection of a vector $3\widehat i + 4\widehat k$ on y-axis is

If $\vec{A} = 2\hat{i} + 3\hat{j}$ and $\vec{B} = \hat{i} - \hat{j}$, then the magnitude of $\vec{A} imes \vec{B}$ is:

If  ${\rm{\vec P}} = 4{\rm{\hat i}} - 2{\rm{\hat j}} + 6{\rm{\hat k\;}}\,\,\,{\rm{and}}\,\,{\rm{\vec Q}} = {\rm{\hat i}} - 2{\rm{\hat j}} - 3{\rm{\hat k}}$ , then the angle which ${\rm{\vec P}} + {\rm{\vec Q}}$ makes with x-axis is

If $\vec{A} imes \vec{B} = \vec{0}$, which of the following is always true?