Force $F$ applied on a body is written as $F =(\hat{ n } \cdot F ) \hat{ n }+ G$, where $\hat{ n }$ is a unit vector. The vector $G$ is equal to
$\hat{ n } \times F$
$\hat{ n } \times(\hat{ n } \times F )$
$(\hat{ n } \times F ) \times F /| F |$
$(\hat{ n } \times F ) \times \hat{ n }$
The area of the parallelogram whose sides are represented by the vectors $\hat j + 3\hat k$ and $\hat i + 2\hat j - \hat k$ 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
Obtain scalar product in terms of Cartesian component of vectors.
Dot product of two mutual perpendicular vector is