ENGR 251 Midterm: ENGR 251 Midterm 2009 Winter C Solutions
Document Summary
Engr 233 - tut ub - solutions to 1st midterm exam, Find a normal vector ~n to the plane x+y +z = 0, and give parametric equations for the normal line through the point (0, 0, 0). Now we use this vector as the direction vector ~a for a line through the initial point (0, 0, 0), which gives the vector equation of the line as. ~r = ~r0 + ~at = (0, 0, 0) + t(1, 1, 1) = t + t + t k. The parametric equations are then x = t, y = t and z = t. ~f of the vector ~f = 3 + 2 + k in the direction given (b) find the component comp ~n by the vector ~n from part (a). The sign of your answer will depend on the direction of the vector ~n you have chosen.
