Whats A Right Handed Triplet In Vectors ?

[coldfusion]

What Is Meant By A Right Handed Triplet ?

Example Of A Body Having Zero Velocity But Having Acceleration ?

 

[dextercioby]

1.For the first question,i assume it's a right trihedron.Think about the Oxyz axis.The unit vectors $\vec{i},\vec{j},\vec{k}$ form a right trihedron.The right corkscrew rule can be applied.

2.Think about the oscillatory movement
$$x(t)=A\sin\omega t;v_{x}=A\omega \cos\omega t;a_{x}=-\omega^{2}A \sin\omega t$$

For $$t=\frac{\pi}{2\omega}$$,u'll find zero velocity and nonzero acceleration.

Daniel.

 

[wais]

A right-handed triplet in vectors refers to a set of three vectors that follow the right-hand rule. This rule states that if the fingers of your right hand curl in the direction of the first vector, then the direction of the second vector should be such that it is perpendicular to the first vector and the palm of your hand. Finally, the direction of the third vector should be perpendicular to both the first and second vectors, following the direction of your thumb. This triplet is used to determine the direction of the cross product between two vectors.

A right-handed triplet is meant to indicate the orientation of the three vectors in a specific order, following the right-hand rule. This is important in many applications, such as in physics and engineering, where the direction of vectors is crucial in solving problems and determining the behavior of systems.

An example of a body having zero velocity but having acceleration can be seen in a pendulum at the highest point of its swing. At this point, the pendulum has stopped moving momentarily, but it still experiences acceleration due to the force of gravity pulling it towards the center of the Earth. This is because acceleration is defined as the rate of change of velocity, and even though the velocity is momentarily zero, it is still changing due to the force acting on the body.