1. The point's polar coordinates are r = 7.00 m and @ = 265'. Find the Cartesian coordinates of the point. (10 points each) 2. Find the resultant of the given vectors shown in figure 26 using properties and component methods. Also, express the vectors in unit vectors. (15 points each) 3. Find the scalar and cross product of the two vectors shown in figure 27 using the component method. (10 points each) LA 3.60 m B =4 A 70 30 2.40 m +I B A = 6 Figure 26: Vectors1 Figure 27: Vectors 21. A family goes on a beach by travelling 20 km north and proceeds 35 km in a direction 60' west of north. Find the magnitude and direction of the family's resultant displacement. Also, express the resultant displacement in terms of unit vectors. 2. Katherine goes on an adventure to the tower beyond the Aguna forest. She starts her trip by travelling 25 km 45 degrees south of east and camps to spend the night. On the next day, Katherine continues her journey by following 60 degrees north of east, which is 40 km long, and finally reaches the tower. Determine the magnitude and direction of Katherine's resultant displacement. Also, express the resultant displacement in terms of unit vectors. 3. Find the dot product A- B and its angle of the given vectors: A = 10i - 4j +7 k and B = -2i +j + 6k. 4. Given the vectors: A = 3i - 3j + k and B = 4i + 9j + 2k, find the A x B by using determinant and component methods in calculating the cross product