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Is plane angle a vector or scalar?

Updated: 9/26/2023
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6y ago

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It is a scalar.

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6y ago
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Q: Is plane angle a vector or scalar?
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Is angle scalar or vector?

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.


Is angle scalar quantity or vector quantity?

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A scalar is a quantity that has?

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)


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Is energy a vector quantity or a scalar quantity?

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.


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