Find a vector X such that 1, 1, 1 Let X = a, b, c . We compute the cross product:

61. Find a vector X such that 1, 1, 1 Let X = a, b, c . We compute the cross product: 1, 1, 1 = (c - b)i-(c - a)j + (b - a)k = c - b, a - c, b - a The equation for X is, thus, c - b, a - c, b - a = 1, -1, 0 Equating corresponding components we get c-b =1 a - c = -1 b-a =0 The third equation implies a = b. Substituting in the first and second equations gives c-a =1 a - c = -1 Explain geometrically why the equation 1, 1, 1