9. Given two points a (2,0,3) and B (1,2,4), the module, direction cosine and direction angle of vector AB are calculated

9. Given two points a (2,0,3) and B (1,2,4), the module, direction cosine and direction angle of vector AB are calculated

|Ab | = √ [(1-2) ^ 2 + (- √ 2-0) ^ 2 + (4-3) ^ 2] = 2. Let the angles between vector AB and X, y, z axes be α, β, and γ respectively. Then, cos α / ((1-2) = cos β / (- √ 2-0) = cos γ / (4-3) = 1 / | ab | = 1 / 2. Cos α = - 1 / 2, α = 120 °, cos β = - √ 2 / 2, β = 135 °, cos γ = 1 / 2. γ = 60