Problem 6: CHALLENGE! A house with a mass of 95 Mg is built on a steep slope defined by points A, B, and C. To help assess the possibility of slope failure (mud slide), determine the scalar components of the weight in the directions normal and parallel (tangent) to the slope. Tips: Write out knowns and unknowns What vectors will you need to solve this problem? Start by writing the WEIGHT of the house as a vector (careful with units, and with mass vs weight) You will need to use cross product at some point, but what else might you need? Be careful with how you name your variables/vectors. If you name them using parallel and perpendicular symbols, makes sure you know WHAT they are parallel and perpendicular to exactly. C x Z VPC B 60 m 130 m 180 m