Can a scalar product be a negative quantity?

Yes. Scalar product will be negative if θ>90∘.

Can vector quantities be negative?

Two vectors are equal if they have the same magnitude and the same direction. Just like scalars which canhave positive or negative values, vectors can also be positive or negative.

Can the scalar product of two vectors be negative when?

Answer: The dot product between two vectors is negative when the angle between the vectors is between 90 degrees and 270 degrees, excluding 90 and 270 degrees.

Can the vector product of two vectors be negative?

The cross product of two vectors is itself a vector, and vectors do not have a meaningful notion of positive or negative.

Can vectors be negative or positive?

Just like scalars which can have positive or negative values, vectors can also be positive or negative. A negative vector is a vector which points in the direction opposite to the reference positive direction.

What does a negative scalar quantity mean?

A negative value for a scalar does not imply a direction in space. Temperature can be negative, but temperature doesn’t have a direction in space. A circuit can have a negative amount of voltage at a given point, but the voltage isn’t pointing in any direction.

Can a scalar product of two vectors be negative give proof?

Yes it can be negative. If the angle between two vectors is greater than 90 degree then it is negative. Because Dot product of two vectors is ab cosx where x is the angle between them.

What is the negative of a vector explain?

A negative of a vector represents the direction opposite to the reference direction. It means that the magnitude of two vectors are same but they are opposite in direction. For example, if A and B are two vectors that have equal magnitude but opposite in direction, then vector A is negative of vector B.

What does it mean if cross product is negative?

The dot product, described in the previous tutorial, is only one way to multiply two vectors. If you travel the angle from the second vector to the first—in reverse direction, -ϕ becomes negative. The sine of a negative angle is also negative so calculating the cross product will give a negative answer.

What is mean by negative vector?

A negative vector is a vector that points in the direction opposite to the reference positive direction. A negative vector is that has the opposite direction to the reference of a positive direction. Like scalars, vectors can also be added and subtracted. Like the example taken above of vector, →a.