Question

find the vector with all of the following properties:

magnitude 10
angle of 45 degrees with positive x-axis
angle of 75 with positive y-axis
positive k component

Answer 1

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.

Answer 2

thank you so much

Answer 3

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