using the "dot product" formula, you can find the angle. where |a| denotes the length (magnitude) of a. More generally, if b is another vector : where |a| and |b| denote the length of a and b and θis the angle between them. Thus, given two vectors, the angle between them can be found by rearranging the above formula: : :
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The angle between two vector forces of magnitude can be calculated using the dot product formula: θ = cos^(-1)((A·B) / (|A||B|)) where A and B are the magnitudes of the forces. This formula gives the angle in radians.
The torque developed by the armature of a DC motor can be expressed as: T = k * Ia * Φ where T is the torque, k is a constant factor, Ia is the armature current, and Φ is the magnetic flux in the motor.
Torque is a vector quantity because it has both magnitude (how strong the force is) and direction (the axis about which the force is applied).
Magnitude is the strength of the force, direction is the way in which the force is applied, point of application is where the force is applied on an object, and line of action is the path along which the force acts. All these components are essential in fully describing a force.
In fact, there is an infinite number of answers because force is a vector, meaning that it has a magnitude and an orientation. For example, if someone pushes horizontaly onto the book (10N) and the friction is 8N in the opposite direction, the resultant force is 2N. But if the book is pushed at an angle, the resultant force changes.
tension is a vector!(At first I thought it was a scalar too but this afternoon it was in our physics quiz,I answered scalar but I got it wrong because tension is a vector).this is the explanation:tension is the force producing such deformation.anything with force is a vector.Force always has direction.