1. The problem statement, all variables and given/known data a) Find the cosine of the angles that the line r = [-3,2,5] + t [2,2,√2 ] makes with the coordinate axes. b) If a,b and c are the angles that the line makes with the x,y and z axis respectively, find the value of cos^2a + cos^2b + cos^2c. c) What is the magnitude of the vector [cosa,cosb,cosc] d) What can you say about the direction of the vector [cosa,cosb,cosc] and the direction of the vector line? 2. Relevant equations I believe we have to use CosTheta = r . t / |r||t| but it doesn't seem right because this is a vector equation involving direction.