Mathematics Help: Vectors and Scalars?

Hello Everyone,


If possible please have a look at the link to the page.





http://img256.imageshack.us/img256/7475/...





They are quick Vector and Scalar problems.





My answers are below:








1) C : Distance


2) A : Density


3) A


4) A


5) B


6) C


7) B














Any contribution will be appreciated.

Mathematics Help: Vectors and Scalars?
1) D. Momentum has direction, the others do not


2) A.


3) B. You always put the tails together to measure the angle between vectors.


4) A.


5) B. N 60º W means 60 degrees West of North. 0ºT and 360ºT is North, 90ºT East,180ºT South, 270ºT West. So 300º is to the West of North by 60º.


6) C.


7) C. I think me07 misread the problem, assuming the last part was DA instead of DC. If that was the case, A would be correct. But as it is, DC cancels CD, leaving you with AB + BC. Thus, the resultant vector is AC.
Reply:1) momentum


2) density


3)not sure actually... I think B?


4) A


5) D, but it should be written 30 degrees N of W


6) C


7) B
Reply:1. Distance is a scalar quantity, as it does not have any direction. It's a pure number, for e.g. 50 m, 50 km, 10 miles etc. Displacement, however, is a vector quantity, as it has direction. D. is the correct answer to this question, as momentum is the product of mass and velocity. Mass is a scalar, velocity is a vector, and the product of a scalar and a vector is another vector.





3) B. The angle between two vectors is the angle between them when they DIVERGE.





5) I'm sorry, I don't know what degrees T is myself.





7) The sum of those vectors takes you back to the starting position. The sum of vectors means 'displacement'. Although you must've moved a distance (scalar) equal to the perimeter of the figure, your displacement (vector) is 0, because you end up at the same place you started from. Hence, A.





The rest of the answers are correct. :)





I hope that helps. :)





me07.