Question

Displacement symbol and formula unit vector

Answer 1

. A unit vector is a vector that has a magnitude of 1. They are labeled with a "", for example:. Any vector can become a unit vector by dividing it by the vector's magnitude. Vectors are often written in xyz coordinates. This can be done in two ways. One is to write the coordinates in brackets: . The other is to use three unit vectors, with each pointing along one of the axes: . The magnitude of a vector is:.

In bracket format:

In unit vector component format:

= a unit vector, with direction and a magnitude of 1
= a vector, with any magnitude and direction
= the magnitude of the vector
x=the value of the vector in the x axis
y=the value of the vector in the y axis
z=the value of the vector in the z axis
= a unit vector directed along the positive x axis
= a unit vector directed along the positive y axis
= a unit vector directed along the positive z axis

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Answer 2

Displacement Formula. Displacement Formula. Displacement is the change in an object's position from the origin. Displacement is a vector quantity, and thus has both magnitude and direction. Displacement = (final position) - (initial position) = change in position.

Displacement (symbolized d or s ), also called length or distance, is a one-dimensional quantity representing the separation between two defined points. The standard unit of displacement in the International System of Units ( SI ) is the meter (m). Displacement is usually measured or defined along a straight line.

This is an example where the magnitude of a vectorcannot be denoted by the same symbol as the vector symbol without the arrow. Definition 2: Displacementand Distance. Distance traveled is a measure of how far an object has moved.