Is moment scalar or vector and why?
Scalar has magnitude, but no direction.
Vector has magitude and direction.
Speed is a scalar. The car's speed is 25mi/hr. No direction is mentioned.
Velocity is a vector. The car is traveling 25 mi/hr 20º North of East. Velocity is a vector, because it has magnitude and direction
Moment has two meanings
Moment of inertia = ∑ Mass* raidus^2
This moment measures how difficult it is to rotate an object. This moment is a scalar.
Moment can also mean torque. Torque = Force x distance* sinθ (cross product). However torque can be clockwise or counter-clockwise. So torque is a vector.
Moment arm is a scalar quantity, as it represents the perpendicular distance from the axis of rotation to the line of action of a force. It does not have a direction associated with it, unlike vectors.
Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
A couple is a vector quantity because it has both magnitude (related to the moment of force) and direction (related to the axis of rotation).
Yes, you can multiply a vector by a scalar. The scalar will multiply each component of the vector by the same value, resulting in a new vector with each component scaled by that value.
A vector. Since velocity is a vector, moment, which is mass x velocity, is also a vector.
Magnetic moment is a vecotr quantity
Moment arm is a scalar quantity, as it represents the perpendicular distance from the axis of rotation to the line of action of a force. It does not have a direction associated with it, unlike vectors.
A scalar times a vector is a vector.
vector
Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.
Scalar
When multiplying a vector by a scalar, each component of the vector is multiplied by the scalar. This operation changes the magnitude of the vector but not its direction. Similarly, dividing a vector by a scalar involves dividing each component of the vector by the scalar.
An earthquake is neither a scalar nor a vector. It is an event.
A couple is a vector quantity because it has both magnitude (related to the moment of force) and direction (related to the axis of rotation).
vector
vector