A scalar is a amount that is fully specified through its magnitude and also has no direction. A scalar have the right to be explained either dimensionless, or in terms of some physical quantity. Examples of scalars are: mass, volume, distance, energy, and time. 

Scalar quantities can be manipulated through the legislations of arithmetic applicable to herbal numbers. For instance if I include 20 grams of street to a recipe and then include 20 grams much more the an outcome is 40 grams of sugar in the recipe. If i buy a liter (1000ml) bottle of water and also drink 250 ml, the lot left over is 750 ml. 

vector is a quantity that specifies both a magnitude and a direction. Together a quantity may be represented geometrically by an arrowhead of size proportional to its magnitude, pointing in the assigned direction. Instances of vectors are: displacement, velocity, acceleration, force and electric field. Vectors have the right to be added in simple ways the scalars can. Because that example: A plane flies southern at 500 miles/hour. A wind blows from the eastern at 100 miles/hour occurs. The resultant rate is not 600 miles/hour or 400 miles every hour. 


The resultant (red arrow) can be calculated making use of the Pythagorean Theorem

R= sqrt (100^2 + 500^2)

R= 509.9 mi/hr.

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The direction of the aircraft can it is in calculated using the cosine function.


 = 100/500 = 11.31 degrees

(Note: chart is not drawn to scale)



1. ___ _ is an example of a scalar quantity a) velocity b) force c) volume d) acceleration

2. ___ is an instance of a vector quantity a) massive b) pressure c) volume d) density 

3. A scalar quantity: a) always has massive b) is a quantity that is fully specified through its size c) shows direction d) does not have units

4. A vector quantity a) deserve to be a dimensionless amount b) specifies just magnitude c) specifies just direction d) mentions both a magnitude and a direction

5. A young pushes versus the wall surface with 50 pounds the force. The wall surface does no move. The resultant force is: a) -50 pounds b) 100 pounds c) 0 pounds d) -75 pounds

6. A guy walks 3 miles north then turns right and also walks 4 miles east. The resultant displacement is: a) 1 mile SW b) 7 miles NE c) 5 miles NE d) 5 mile E

7. A plane flying 500 MI/hr due north has actually a tail wind of 45 MI/hr the result velocity is: a) 545 miles/hour early south. b) 455 miles/hour north. c) 545 miles/hr early north. d) 455 MI/hr due south

8. The difference in between speed and velocity is: a) speed has no systems b) rate shows just magnitude, when velocity represents both magnitude (strength) and also direction c) they use various units to stand for their magnitude d) velocity has actually a higher magnitude

9. The result magnitude of 2 vectors

a) Is constantly positive b) have the right to never be zero c) have the right to never be negative d) Is generally zero

10. I beg your pardon of the adhering to is no true. a) velocity can be an unfavorable b) velocity is a vector b) speed is a scalar d) speed have the right to be negative

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