math / science
posted by Clarissa on .
find the vector with all of the following properties:
magnitude 10
angle of 45 degrees with positive xaxis
angle of 75 with positive yaxis
positive k component

r= 10cos45 i + 10 cos75 j + Z k
but you know you can find Z by this
10^2=10^2*cos^2 45 + 10^2 cos^2 75 + Z^2
or
Z= 10 sqrt (1.5.067)
Z= 6.58
check all that. 
thank you so much

so then is the vector .5i + .067j + 6.58k??