Table of Contents
- 1 What is the difference between displacement vector and position vectors?
- 2 What properties does a displacement vector have?
- 3 When two vectors have the same magnitude and have different direction?
- 4 What are the three difference between distance and displacement?
- 5 What is the difference of displacement and distance?
What is the difference between displacement vector and position vectors?
Position Vector: Position vector of an object at time t is the position of the object relative to the origin. Displacement Vector: Displacement vector of an object between two points is the straight line between the two points irrespective of the path followed.
What is displacement vector?
In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. In considering motions of objects over time, the instantaneous velocity of the object is the rate of change of the displacement as a function of time.
What properties does a displacement vector have?
The displacement vector from one point to another is an arrow with its tail at the first point and its tip at the second. The magnitude (or length) of the displacement vector is the distance between the points and is represented by the length of the arrow.
What is displacement vector in Class 11?
Displacement vector is the vector subtraction of the initial position vector of the body from the final position vector of the body. This is the shortest path which is directed from the initial position of the body in motion to the final position of the body.
When two vectors have the same magnitude and have different direction?
Similarly, the velocity of vectors a and b from the figure cannot be equal. That is, two vectors with the same magnitude and different directions cannot be equal.
How do you write a displacement vector?
The displacement vector d from P1 to P2 may be written as d = (x2 – x1)i + (y2 – y1)j. The displacement d is (x2 – x1) units in the x-direction plus (y2 – y1) units in the y-direction. The magnitude of the displacement is d = ((x2 – x1)2 + (y2 – y1)2)½. This follows from the Pythagorean theorem.
What are the three difference between distance and displacement?
Distance is the total path covered by the body and displacement is the shortest path covered by the body. The distance can never be zero but displacement can be. Distance can never be negative and displacement can be both i.e., positive or negative. Distance doesn’t decrease with time whereas displacement decreases.
How are distance and displacement similar and different?
How are distance and displacement similar? They both refer to the length of two points but distance is the total length of the actual path between those two points. Displacement is the length and direction of a straight line and those two points.
What is the difference of displacement and 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.
What are the two different vectors having same magnitude?
(iii) Two vectors having same magnitude are collinear.