Almost all of us would say that angle is a scalar quantity.
But the beauty is that angle is a vector quantity. Now the question arises. Where will be the direction?
As we measure the angle in a plane in counter clockwise direction, then direction of angle vector will be perpendicular to the plane and coming out of the surface.
If the angle is measured in clockwise then vector would go into the surface normally.
As angle becomes vector then angular velocity w = @/t also becomes a vector.
A scalar quantity has an angle which is an even multiple of 90 degrees. A vector quantity has an angle which is an odd multiple of 90 degrees. A quaternion has any angle and includes the scalar and the vector; quaternion q = cos(angle) + unit-vector sin(angle)
Solid angle is vector quantity. BY WAHID BUX MAHAR
Almost all of us would say that angle is a scalar quantity. But the beauty is that angle is a vector quantity. Now the question arises. Where will be the direction? As we measure the angle in a plane in counter clockwise direction, then direction of angle vector will be perpendicular to the plane and coming out of the surface. If the angle is measured in clockwise then vector would go into the surface normally. As angle becomes vector then angular velocity w = @/t also becomes a vector.
Energy is a scalar quantity.Answer2: It depends on the angle!Energy can be a scalar or a vector; consider the vectors F force and D displacement:FD = -F.D + FxD = |FD| (cos(angle) + v sin(angle)).F.D is called work a form of energy and is a scalar; FxD is called Torque and is a vector form of energy. both work and Torque have units of joules or newton times meters.Energy like many quantities in physics is a quaternion consisting of a scalar part and a vector part; E = Escalar + Evector = E(cos(angle) + v sin(angle)), whether the quantity is a scalar or a vector or both depends on the angle.
A scalar times a vector is a vector.
vector
That is how the scalar product is defined. Also, the projection of one vector onto another at an angle to it is directly proportional to the cosine of that angle.
Yes, you can add a scalar to a vector by adding the scalar value to each component of the vector.
The product of a vector and a scalar is a new vector whose magnitude is the product of the magnitude of the original vector and the scalar, and whose direction remains the same as the original vector if the scalar is positive or in the opposite direction if the scalar is negative.
Scalar product (or dot product) is the product of the magnitudes of two vectors and the cosine of the angle between them. It results in a scalar quantity. Vector product (or cross product) is the product of the magnitudes of two vectors and the sine of the angle between them, which results in a vector perpendicular to the plane containing the two original vectors.
Plane angle is a scalar quantity because it only has magnitude (in units of radians or degrees), and no direction associated with it. It represents the amount of rotation needed to bring one ray to coincide with the other.
Torque is vector energy. Physicists have mistakenly defined energy as a scalar. Energy is a quaternion consisting of scalar energy (potential) and vector energy (torque). The units of torque is Joules or Newton meter, the same as work or energy..Here is the correct definition of Energy = FD = -F.D + FxD where F is force vector in Newtons and D is displacement vector in meters.F.D = - FDcos(Angle) is the Work or scalar energy and FxD=FDsin(Angle) is the Torque or vector energy. If the angle between the force and displacement is 90 degrees there is only torque; if the angle is a zero degrees there is only work or scalar energy ; if the angle is not a multiple of these two angles there is both scalar and vector energy; work and torque. E.g FD= -Fdcos(45) + Fd sin(45) gives work and torque.