Calculate the angle formed by (8,3,1) and the Cartesian axis.
I know the formula, but which numbers I have to put to represent the cartesian axis?

Question

Calculate the angle formed by (8,3,1) and the Cartesian axis. 
I know the formula, but which numbers I have to put to represent the cartesian axis?

jim_thompson5910 · Answer

I'm not sure, but it sounds like they want you to find the angle formed between the xy plane and the vector <8,3,1> ? If so, then the first step is to find the length of the vector <8,3,1>. This is the hypotenuse of the triangle shown below |dw:1479685277855:dw|

jim_thompson5910 · Answer

|dw:1479685313163:dw|

jim_thompson5910 · Answer

then use arcsine to find theta

styxer · Answer

By lenght you mean module? It's 8,6

styxer · Answer

I found the angle being approx. 6,31

jim_thompson5910 · Answer

module isn't a term I have heard before

jim_thompson5910 · Answer

length of vector = magnitude of vector

jim_thompson5910 · Answer

I'm getting `arcsin(1/8.60232526704262) = 6.67559216607672`

so the angle is approximately `6.67559216607672 degrees`

jim_thompson5910 · Answer

instead of "module" I think you mean "modulus"

styxer · Answer

modulus, yes

styxer · Answer

So, the representation of the (x,y,z)  is just this triangle?

jim_thompson5910 · Answer

|dw:1479687243269:dw|