dan38 said:Homework Statement
Find the work done by a force acting in the direction 2i - 5j + k in moving a particle from (3, 3, 1) to (1, 2, 4).
Homework Equations
The Attempt at a Solution
I just found the displacement vector (2,1,-3) and did the dot product with the force vector.
So my answer as an integer, was negative 4.
Does that sound correct?
dan38 said:oh yeah lol, its final minus initial
so my answer should be positive 4 right?
Work done using force vectors in 3 dimensions is a way of calculating the amount of energy needed to move an object in a 3-dimensional space. This is done by using vectors to represent the magnitude and direction of the applied force.
To calculate the work done using force vectors in 3 dimensions, you would need to multiply the magnitude of the force by the displacement of the object in the direction of the force. This can be represented mathematically as W = F * d * cos(theta), where F is the force, d is the displacement, and theta is the angle between the force and the displacement vectors.
The units used to measure work done using force vectors in 3 dimensions are joules (J). This is the same unit used to measure work done in standard physics problems.
Yes, work done using force vectors in 3 dimensions can be negative. This indicates that the applied force and the displacement are in opposite directions, resulting in a negative value for work.
Calculating work done using force vectors in 3 dimensions can be used in various fields such as engineering, mechanics, and physics. Some real-life applications include designing structures, analyzing the movement of objects in space, and calculating the energy required for lifting objects in 3-dimensional space.