Vector Algebra — Class 12 Maths Solution

Here, $\overrightarrow {PQ} =$position vector of $Q -$position vector of $P = ({x_2}\hat i + {y_2}\hat j + {z_2}\hat k) - ({x_1}\hat i + {y_1}\hat j + {z_1}\hat k)$

$= ({x_2} - {x_1})\hat i + ({y_2} - {y_1})\hat j + ({z_2} - {z_1})\hat k$

The scalar components of $\overrightarrow {PQ}$ are : ${x_2} - {x_1},{y_2} - {y_1},{z_2} - {z_1}$

Magnitude of $\overrightarrow {PQ} = |\overrightarrow {PQ} |$

$= \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2} + {{({z_2} - {z_1})}^2}}$