Question

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

Answer 1

Answer:

$3 \sqrt{2} \ units$

Explanation:

Let a = 2i + 4j and b = 5i + j then, if O = ( 0 , 0 ) is the origin,

$\vec{OA} = 2i + 4j\\\vec{OB} = 5i + j$

We need to find the vector AB which is the displacement vector from A to B.

$\vec{AB} = \vec{AO} + \vec{OB}\\= \vec{OB} - \vec{OA}\\= ( 5 - 2 )i + ( 1 - 4 )j\\= 3i - 3j$

The magnitude of this vector is,

$||\vec{AB}|| = \sqrt{ (3)^2 + (-3)^2} = 3 \sqrt{2}$