Posted by **Sam** on Sunday, June 15, 2008 at 2:54pm.

Vectors a and b have magnitudes 2 and 3, respectively. If one of them is 50degrees, find the vector 5a-2b and state its magnitude.

- Vectors -
**bobpursley**, Sunday, June 15, 2008 at 4:18pm
Use the law of cosines: You know two sides, and the included angle.

Draw the figure before you compute.

- Vectors -
**Damon**, Sunday, June 15, 2008 at 9:51pm
vector 5a has magnitude 10 and call it at 50 degrees

vector 2 b has magnitude 6 and call it at 0 degrees

so our triangle is

10 and 6 with fifty degrees between them

so the magnitude we are looking for is from

c^2 = 10^2 + 6^2 - 10*6*cos 50

that is why it did not work.

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