why is work not a vector quantity when it has positive and negative values?
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A vector is a physical quantity which has both magnitude and direction in space and which obeys the triangle law of vector addition. A vector is completely described by its magnitude and direction.
Work is defined as a dot-product (or scalar product) of force and displacement, both of which are vectors.
A scalar product of two vectors gives a scalar result.The dot product of vector quantities is always scalar which means it is has only magnitude and no direction.
Therefore,work is a scalar quantity.
Work is defined as a dot-product (or scalar product) of force and displacement, both of which are vectors.
A scalar product of two vectors gives a scalar result.The dot product of vector quantities is always scalar which means it is has only magnitude and no direction.
Therefore,work is a scalar quantity.
amal14:
if you say that vectors are those quantities that have magnitude and direction, what about acceleration? it has magnitude but its positive when velocity increases while negative when velocity decreases,not when the direction changes. even after this it's considered as a vector quantity.why?
Acceleration is a vector quantity because it has both magnitude and direction.When an object has a positive acceleration, the acceleration occurs in the same direction as the movement of the object.
When an object has a negative acceleration (it's slowing down), the acceleration occurs in the opposite direction as the movement of the object.
When an object has a negative acceleration (it's slowing down), the acceleration occurs in the opposite direction as the movement of the object.
imagine a person riding a scooter. he slows down and stops so he is retarding.he then continues to ride but in the opposite direction.he increases his speed and there is positive acceleration even in the opposite direction.now?
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