Answer:
The work done is 20 Joules (J).
Step-by-step explanation:
To calculate the work done, we can use the formula:
Work = Force dot Displacement
Given the force vector F = 3i + 2j + 4k N and the displacement vector D = 2i - 3j + 5k m, we can calculate the dot product between these vectors.
The dot product of two vectors A and B is given by:
A dot B = (Ax * Bx) + (Ay * By) + (Az * Bz)
Calculating the dot product between F and D:
F dot D = (3 * 2) + (2 * -3) + (4 * 5)
= 6 - 6 + 20
= 20