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Multiplying a vector a with a constant scalar k gives a vector whose direction is the same but the magnitude is changed by a factor of k. The figure shows the vector after and before it is multiplied by the constant k. In mathematical terms, this can be rewritten as,  ∣��⃗∣=�∣�⃗∣∣kv∣=k∣v∣  if k > 1,…

Two vectors are considered to be equal when they have the same magnitude and same direction. The figure below shows two vectors that are equal, notice that these vectors are parallel to each other and have the same length. The second part of the figure shows two unequal vectors, which even though have the same…

The differences between Scalar and Vector Quantities are shown in the table added below, Difference Between Scalar and Vector Quantity Scalar Vector Scalar quantities have magnitude or size only. Vector quantities have both magnitude and direction. It is known that every scalar exists in one dimension only.  Vector quantities can exist in one, two, or…

Vector notation is a way or notation used to represent a quantity that is a vector, through an arrow (⇢) above its symbol, as shown below:

A vector quantity is a physical quantity that has both magnitude and direction. In other words, a vector quantity is described by a number, a unit, and a direction. Examples of vector quantities include velocity, acceleration, force, displacement, and momentum. These quantities are commonly represented graphically using arrows to show both their direction and magnitude.…

A scalar quantity is a physical quantity that has only magnitude and no direction. In other words, a scalar quantity is described only by a number and a unit, and it does not have any associated direction or vector. Examples of scalar quantities include temperature, mass, time, distance, speed, and energy. These quantities can be…

Scalar and Vector Quantities are used to describe the motion of an object. Scalar Quantities are defined as physical quantities that have magnitude or size only. For example, distance, speed, mass, density, etc. However, vector quantities are those physical quantities that have both magnitude and direction like displacement, velocity, acceleration, force, etc. It should be noted that when a vector…