Vector Linear Combinations: Solving for Scalar Quantity

[Hollysmoke]

The question is to write the following vectors as a linear combination:

c) a vector directed at an angle of 45 degrees with a magnitude of square root of 2.

d)a vector directed at an angle of 150 degrees with a magnitude of 6.

What I tried to do is to find the scalar quantity with the vector but I'm not getting a right answer. Could someone please help me in the right direction?

 

[Muzza]

As a linear combination of what?

 

[Hollysmoke]

oh sorry. i+j

 

[Hollysmoke]

i and j. not i+j.

 

[Hollysmoke]

does anyone know any website that I could use as a tutorial, then?

 

[arunbg]

Hint:First find a unit vector in the given direction using direction cosines.
Then multiply by magnitude.

 

[HallsofIvy]

Try
http://www.math.ucdavis.edu/~daddel/linear_algebra_appl/OTHER_PAGES/other_pages.html
or
http://mathforum.org/library/topics/linear/

 

[Hollysmoke]

Thank you for the websites and thank you for the help. I figured it out with that hint :D