A particle acted on by constant forces … and … is displaced from the point … to the point … The total work done by the forces is :

Option D. The work done by a force on a particle is given by the dot product of the force and the displacement vector of the particle. The displacement vector can be found by subtracting the initial position from the final position:

Vector Algebra

JEE Main 2004 · Annual, Paper 1 · Q5759

MathematicsMedium202×since 2002Q5759

A particle acted on by constant forces

4\widehat i + \widehat j - 3\widehat k

and

3\widehat i + \widehat j - \widehat k

is displaced from the point

\widehat i + 2\widehat j + 3\widehat k

to the point

\,5\widehat i + 4\widehat j + \widehat k.

The total work done by the forces is :

Vector Algebra

JEE Main 2004 · Annual, Paper 1 · Q5759

MathematicsMedium202×since 2002Q5759

A particle acted on by constant forces

4\widehat i + \widehat j - 3\widehat k

and

3\widehat i + \widehat j - \widehat k

is displaced from the point

\widehat i + 2\widehat j + 3\widehat k

to the point

\,5\widehat i + 4\widehat j + \widehat k.

The total work done by the forces is :

Vector Algebra

More on Vector Algebra

Vector Algebra

More on Vector Algebra