Question

Find the scalar components and magnitude of the vector joining the points .

Answer 1

The two given points are P( x 1 , y 1 , z 1 ) and Q( x 2 , y 2 , z 2 ).

Let, the line joining points P and Q be PQ → .

PQ → =( x 2 − x 1 ) i ^ +( y 2 − y 1 ) j ^ +( z 2 − z 1 ) k ^

The scalar components of the line PQ → are,

( x 2 − x 1 ),( y 2 − y 1 ),( z 2 − z 1 )

The magnitude of line PQ → is,

| PQ → |= ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 + ( z 2 − z 1 ) 2 .