Can a scalar be equal to a vector?

A scalar, however, cannot be multiplied by a vector. To multiply a vector by a scalar, simply multiply the similar components, that is, the vector’s magnitude by the scalar’s magnitude. This will result in a new vector with the same direction but the product of the two magnitudes.

Can a scalar quantity becomes a vector quantity?

A scalar quantity is a quantity which has magnitude only but no direction. For example, distance, speed etc. It is impossible to add the two together because of their different dimensions . This basically means that being a vector quantity a particular physical quantity will have both magnitude and direction.

How does multiplying a vector by a scalar value of?

To multiply a vector by a scalar, multiply each component by the scalar. If →u=⟨u1,u2⟩ has a magnitude |→u| and direction d , then n→u=n⟨u1,u2⟩=⟨nu1,nu2⟩ where n is a positive real number, the magnitude is |n→u| , and its direction is d .

How does a vector quantity differ from a scalar quantity?

Vector quantities have two characteristics, a magnitude and a direction. Scalar quantities have only a magnitude. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction. For scalars, you only have to compare the magnitude.

How can a vector and scalar be added?

A scalar quantity cannot be added to a vector quantity because they have different dimensions. A vector value has both magnitude and direction whereas a scalar value has magnitude only and no direction.

What are the differences between scalar and vector quantities?

A scalar quantity has only magnitude, but no direction. Vector quantity has both magnitude and direction. It changes with the change in their direction or magnitude or both.

Is scalar product and scalar quantity same?

Now, in Physics, from time to time, we need to multiply two vector quantities. Some of these multiplications require a scalar product. For example, Work is a scalar quantity and is a product of Force and Displacement.

Can a vector be multiplied with both dimensional and non dimensional scalars?

Can a vector be multiplied by both dimensional and non-dimensional scalars? Answer: Yes. When the vector is multiplied by a non-dimensional scalar, its dimensions remain unchanged.