Criteria for Success: I can . calculate the dot product of two vectors given by various representations both geometrically and symbolically . use the dot product to solve various application questions such as finding the angle between two vectors, the projection of one onto the other, and work . calculate the cross product of two vectors given by various representations both geometri- cally and symbolically . use the cross product to solve various application questions such as finding a vector perpen- dicular to two given vectors, finding the area of the parallelogram determined by two vectors in 3 dimensions, and torque Question: The resultant force F of magnitude 13 Newtons in the direction 22.62 degrees clockwise from North direction (positive y-axis) is being applied to a boat on the ocean. (a) Draw F on the coordinate grid, and write it in standard form (i.e., in coordinates). Round coordinates to nearest whole number. (b) Let a be the unit vector in the direction of the vector (4, 3). Write a in standard form, find a unit vector b perpendicular to it closer to the North direction, and draw them in the above coordinate grid of vector F. Alternatively, you could think of b as a rotated by 90 degrees either counterclockwise. (c) The resultant force F was created as a result of forces F1 and F2 applied to the boat in the directions of a and b respectively. Find the standard form of F1 and F2, as well as their magnitudes