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Can scalar be a negative number?

Updated: 12/24/2022

Wiki User

11y ago

Yes, a scalar can be a negative number. For instance:

c<x₁,x₂> = <cx₁,cx₂> such that <x₁,x₂> is a vector.

Let c = -1 for instance. Then, we have this vector:

<-x₁,-x₂>

Compared to <x₁,x₂>, <-x₁,-x₂> has negative signs.

In physics and mathematics, if we multiply the vector or something by a negative value scalar, then the direction of the vector is reversed, and the magnitude stays the same. If the magnitude increases/decreases, and the direction of the vector is reversed, then we can multiply the vector by any negative non-1 scalar value.

Wiki User

11y ago

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Q: Can scalar be a negative number?
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A positive scalar multiplied by a vector, will only change the vector's magnitude, not the direction. A negative scalar multiplied by the vector will reverse the direction by 180&Acirc;&deg;.

Can a scalar product be a negative quantity?

Yes, a scalar product can be negative if the angle between the two vectors is obtuse (greater than 90 degrees). The scalar product is the dot product of two vectors and is equal to the product of their magnitudes and the cosine of the angle between them. A negative scalar product indicates that the vectors are pointing in opposite directions.

Can a scalar be negative?

Scalars can be negative, and so can a change in a scalar value.Take temperature:You can have a temperature of -10 degrees.If temperature falls from 20 to 5 degress, the change was -15 degree.The negative value of the scalar is a consequence of where you take the &quot;zero&quot; to be.With speed you have to be very careful because speed is the scalar bit of velocity. Velocity with no consideration of direction.

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