triangles represented using vectors

Consider a triangle ABC formed by the vectors **a**=(2,10,25) and **b**=(5,4,-2) attached at the point A. I've calculated the area of the triangle as and now need to find the vector **h**=AM, the height of the triangle [so AM is perpendicular to BC and M lies on the line BC]. I've tried using so many different formulae to try and find **h** or the third side of the triangle and nothing I get seems sensible. Can someone please give me some hints or suggestions on where to start so I can work through this problem? Thanks.