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Scalar
"Perpendicular " is a relationship, not a vector. Any vector can be perpendicular to any other vector if their angle relationship is an odd multiple of 90 degrees.
Still another velocity vector (or a zero vector).
Using the term "trajectory" implies that the acceleration you are concerned about is due to gravity. Gravity will always be perpendicular to the surface. Unless the trajectory begins perpendicular to the surface, it will never change to become perpendicular and the velocity will never be in a direction parallel to the acceleration. If it starts perpendicular to the surface it will start and remain perpendicular. Of course if you have another force acting on the object - such as wind - the component of the velocity vector parallel to the ground could be reduced to zero and at that point the only remaining component of the velocity vector would be that perpendicular to the ground and parallel to the acceleration. Likewise if the object is being propelled by an engine or rocket, the trajectory could be parallel to the force any time the acceleration vector became parallel to the velocity vector.
The wave velocity vector is parallel to the cross product of the electric and magnetic vectors.If you crank a wood screw from the Electric-field direction to the Magnetic-field direction, the screw proceedsinto the wood in the direction of the wave's velocity vector.Here's another advanced and highly technical way to keep these directions straight ...Curl the fingers of your right hand in the direction FROM the electric vector TO the magnetic vector.Your right thumb (when extended) points in the direction of the waves velocity vector, and alsothe "Poynting Vector"; that's the direction in which the wave carries energy.
Scalar
"Perpendicular " is a relationship, not a vector. Any vector can be perpendicular to any other vector if their angle relationship is an odd multiple of 90 degrees.
Still another velocity vector (or a zero vector).
Using the term "trajectory" implies that the acceleration you are concerned about is due to gravity. Gravity will always be perpendicular to the surface. Unless the trajectory begins perpendicular to the surface, it will never change to become perpendicular and the velocity will never be in a direction parallel to the acceleration. If it starts perpendicular to the surface it will start and remain perpendicular. Of course if you have another force acting on the object - such as wind - the component of the velocity vector parallel to the ground could be reduced to zero and at that point the only remaining component of the velocity vector would be that perpendicular to the ground and parallel to the acceleration. Likewise if the object is being propelled by an engine or rocket, the trajectory could be parallel to the force any time the acceleration vector became parallel to the velocity vector.
The wave velocity vector is parallel to the cross product of the electric and magnetic vectors.If you crank a wood screw from the Electric-field direction to the Magnetic-field direction, the screw proceedsinto the wood in the direction of the wave's velocity vector.Here's another advanced and highly technical way to keep these directions straight ...Curl the fingers of your right hand in the direction FROM the electric vector TO the magnetic vector.Your right thumb (when extended) points in the direction of the waves velocity vector, and alsothe "Poynting Vector"; that's the direction in which the wave carries energy.
When a charged particle moves through a magnetic field it experiences the Lorentz force perpendicular to the magnetic fields lines and perpendicular to its direction of motion.The Lorentz equation quantifies the force.F=qE+qvXB, where the vector quantities are in bold. The X refers to the vector cross product operation.In this question, there is no electric field, so this says the force is proportional to the charge, velocity and field strength and the sine of the angle between the velocity and the field.
When a charged particle moves through a magnetic field it experiences the Lorentz force perpendicular to the magnetic fields lines and perpendicular to its direction of motion.The Lorentz equation quantifies the force.F=qE+qvXB, where the vector quantities are in bold. The X refers to the vector cross product operation.In this question, there is no electric field, so this says the force is proportional to the charge, velocity and field strength and the sine of the angle between the velocity and the field.
A vector quantity is any measurement where the direction is relevant, such as position, velocity, acceleration, force, electric field, etc.
The size of the velocity vector is the speed.
"Speed" is a scalar; "velocity" is a vector.
A vector. Since velocity is a vector, moment, which is mass x velocity, is also a vector.
velocity is a vector and speed is a scalar.