Unit vectors problem

[platinum983]

Problem: Given 3 unit vectors a, b, c,
And given cos values of angles (a, b)=1/2, (b, c)=11/30, (a, c)=13/30
Find angle between vector c and plane made of vectors a and b. (sorry for bad english)

 

[Deleted member 4993]

Problem: Given 3 unit vectors a, b, c,
And given cos values of angles (a, b)=1/2, (b, c)=11/30, (a, c)=13/30
Find angle between vector c and plane made of vectors a and b. (sorry for bad english)

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[pka]

Problem: Given 3 unit vectors a, b, c,
And given cos values of angles (a, b)=1/2, (b, c)=11/30, (a, c)=13/30
Find angle between vector c and plane made of vectors a and b. (sorry for bad english)

To platinum983: Have you given us the complete wording to this question?
I ask because I think it is possible construct a counter-example unless I am misreading your notation.
I am reading \((a,b)\) to be the angle between vectors \(\vec{a}~\&~\vec{b}\).
Were you told that these are non-coplanar vectors?