ACTIVITY 3.8
OBTAINING COMPONENTS FROM MODULE AND ARGUMENT

Knowing the M module and the argument from a vector, we can calculate his components (u₁, u₂) using trigonometry:

- As it defines the cosine of like Cos =   ,
then the 1st component u₁ ("horizontal") is  u₁ = M Cos

- As it defines the sine of like Sin =   ,
then the 2nd component u₂ ("vertical") is u₂ = M Sin

Summarizing, if we take account that we indicate vector a of the M module and argument a with the Ma notation, we can write:

= M = (M Cos , M Sin)

INTERACTIVE ACTIVITY

You calculate the components of next vectors using

= M = (M Cos , M Sin)

In each case, us the applet of the right side to draw them and check the results.

a)  5 _45º
b)  3.4 _120º
c)  6 _210º
d)  4 _340º
e)  4.2 _-30º
f )  3 _90º
g)  6 _180º
h)  3.57_270º

SOLUTION

END OF ACTIVITY 3.8
OBTAINING COMPONENTS FROM MODULE AND ARGUMENT