Question

When a vector is multiplied by a scalar the quantity that results?

Answer 1

When vector multiply with scalar quantity . The result is also vector because in multiplication magnitude change not direction

Answer 2

When a vector is multiplied by a scalar, the results will be a Vector.

• A vector is a mathematical object which has a magnitude and a direction.
• A 2D or 3D vector can be represented geometrically in a 2D or 3D graph. The length of a vector is refered as the magnitude and the direction of the vector is referred to as the direction of the arrow used to represent the vector.
• Example of representation of a vector: $\vec a$ .
• Examples of vectors: Velocity, momentum, force, etc.
• On the other hand, a scalar is a mathematical object which only has a magnitude.
• Examples of scalars: mass, time, energy, etc.
• When we multiply a vector by a scalar, the result will be a vector because the result will have a direction as well.
• Let, $\vec b$ be a vector and c is a scalar. Then the multiplication of the vector $\vec b$ and the scalar c will be  $c * \vec b=c\vec b$, which is again a vector.

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