Explanation:
A vector is defined by its magnitude and direction. If we slide it to a parallel position to itself, then none of the given parameters, which define the vector, will change.
Let the magnitude of a displacement vector $\big(\overrightarrow{\text{A}}\big)$ directed towards the north be 5 metres. If we slide it parallel to itself, then the direction and magnitude will not change.
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$(\vec{\text{A}}\times\vec{\text{B}})\times\vec{\text{C}}$ is not zero unless $\vec{\text{B}},\ \vec{\text{C}}$ are parallel.
$(\vec{\text{A}}\times\vec{\text{B}}).\vec{\text{C}}$ is not zero unless $\vec{\text{B}},\ \vec{\text{C}}$ are parallel.
$(\vec{\text{A}}\times\vec{\text{B}}).\vec{\text{C}}= |\text{A}||\text{B}||\text{C}|\rightarrow\text{C}^2=\text{A}^2+\text{B}^2$