You are watching: What is the difference between a scalar and a vector

**What is a scalar?**A scalar is a amount that is completely described by a size only. It is described by simply a solitary number. Some instances of scalar quantities incorporate speed, volume, mass, temperature, power, energy, and also time.

**What is a vector?**A vector is a amount that has actually both a magnitude and also a direction. Vector amounts are vital in the examine of motion. Some examples of vector quantities include force, velocity, acceleration, displacement, and also momentum.

**What is the difference between a scalar and also vector?**A vector quantity has actually a direction and a magnitude, while a scalar has only a magnitude. You deserve to tell if a quantity is a vector by even if it is or no it has actually a direction linked with it.Example:Speed is a scalar quantity, however velocity is a vector that specifies both a direction and also a magnitude. The speed is the magnitude of the velocity. A vehicle has a velocity the 40 mph east. It has actually a speed of 40 mph.

**How to draw a Vector**A vector is drawn as an arrowhead with a head and also a tail. The size of the vector is often described by the size of the arrow. The arrow points in the direction that the vector. View the snapshot above.

**How to compose a Vector**Vectors are normally written together boldface letters. Castle can additionally be written v an arrowhead over the height of the letter.

**Example questions: Is that a scalar or a vector?**1) The football player was to run 10 mile an hour in the direction of the end zone.This is a vector since it to represent a size (10 mph) and also a direction (towards the finish zone). This vector represents the velocity that the football player.2) The volume of that box at the west side of the structure is 14 cubic feet.This is a scalar. It might be a little tricky together it gives the location of package at the west next of the building, yet this has actually nothing to perform with the direction the the volume which has actually a size of 14 cubic feet.3) The temperature of the room was 15 degrees Celsius.This is a scalar, over there is no direction.4) The car accelerated north in ~ a price of 4 meter per 2nd squared.This is a vector together it has both direction and also magnitude. We also know that acceleration is a vector quantity.

**Interesting Facts about Scalars and Vectors**Unit vectors are vectors v a size of 1. Lock are used to specify direction.The credit for inventing vectors is usually offered to irish physicist wilhelm Rowan Hamilton.Vectors and also scalars are necessary in many fields of math and also science.Vectors can be defined in 2 dimensional or 3 dimensional space.Vector graphics are occasionally used in computers since they can be scaled come a bigger size without losing any kind of image quality.

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