Consider the three displacement vectors A =(3 i +3 j )m,B=( i −4 j )m and C =(−2 i +5 j )m use the component method to determine (a) the magnitude and direction of D = A + B + C and (b) the magnitude and direction of E = − A − B + C .
I keep getting E= -6i,6j whats wrong?
Answers
Answer:
Distance- Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion
Displacement- is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Example - What is the distance and the displacement of the race car drivers in the Indy 500?
Answer- The displacement of the cars is somewhere near 0 miles since they virtually finish where they started. Yet the successful cars have covered a distance of 500 miles
Now For Your Question Under What Condition will the magnitude of displacement be equal to the distance traveled by an object
Magnitude of Displacement is equal to Distance ONLY when a particle/ body is moving along a axis (executing one-dimensional motion) and that too WITHOUT changing the direction.Then
Distance Traveled= Magnitude of Displacement
Like Going Straight From Point A to Point B in Straight Line .
Some MOre INfo
The magnitude of the displacement is always less than or equal to the distance traveled. If two displacements in the same direction are added, then the magnitude of their sum will be equal to the distance traveled.