Question

The displacement of a particle from a point having position vector 2i+4j to another point having position vector 5i+1j is

Answer 1

As per the question, the body travels from position vector  $2\hat i\ +4\hat j$ to position vector $5\hat i+1\hat j$

We are asked to calculate the displacement of the body.

Let$\vec A$ $=2\hat i+4\hat j$

    $\vec B$ $=5\hat i+1\hat j$

The body is moving from A to B.

Hence, the displacement of the particle is calculated as follows-

                        displacement $\vec r=\ \vec A-\vec B$

                                                 = [$5\hat j+1\hat j$  ] - [$2\hat i+4\hat j$ ]

                                                 = [  $5\hat i-2\hat i$] + [ $1\hat j-4\hat\j$]

                                                 = $3\hat i-3\hat j$  [ans]