- #1
utkarshakash
Gold Member
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Homework Statement
Let a be a unit vector and b be a non-zero vector not parallel to a. Find the angles of the triangle, whose two sides are represented by the vectors √3(a x b) and b-(a.b)a
Homework Equations
The Attempt at a Solution
The third side will be equal to [itex]\sqrt{3}(a \times b) - \left\{ b-(a.b)a \right\}[/itex]
Now taking the dot product of the given two sides will give me zero so the angle between them is 90°. But what about the other two angles? Even if I take the dot product of the remaining sides pairwise it will not give me an expression which can be evaluated as I don't know the lengths of sides of the triangle.