Can someone please help me to understand if what follows are four separate solutions.  And if they are, could you also help me to understand what they actually mean.  I  don't understand the 'RootOf' in them.

w1 = RootOf(( v1^2+v2^2+v3^2)_Z^2-1,label=_L3) w*v1,

w2= RootOf((v1^2+v2^2+v3^2)_Z^2-1,label=_L3)w*v2,   

w3= RootOf((v1^2+v2^2+v3^2)_Z^2-1,label=_L3)w*v3,   

b= RootOf((v1^2+v2^2+v3^2...

My first equation is a vector equation which results in three separate equations and four unknowns:

W x V - [( A / |A|)* |W|*|V|*sqrt( 1 - b^2 * (|W|^2/|V|^2)] =0

Where W,V, and A are all vectors with three components.  The four unknowns are w[1], w[2], w[3], and also b.

The other equation i have is that w[1]^2 + w[2]^2 + w[3]^2 = |w|^2, where i know |w|^2.

This makes four equations and four unknowns.

I know v[1],v[2],v[3],a[1],a[2],a[3] and |w|.

I have a complicated vector equation that I'm trying to solve.

(W x V) / [(W x V) . (W x V)] = A / (A . A)

where x is the cross product and . is the dot product.

Here is what I know, v1, v2, v3, a1, a2, a3, and i know the magnitude of w.

I need to find w1, w2, w3 in terms of v's and a's only. 

I tried using the solve function but I'm not getting anywhere using that.

Any help would be greatly appreciated.

Thanks.