8. [0/1 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two dimensional vectors, A and B, have the same magnitude. The angle of orientation for vectors A and B are respectively , = 45.00 and 0g = 75.09. The vector C is related to vectors A and B by the relationship C = A - 2B. The magnitude and direction for the vector C are |C| = 4.96 and 0 = 278.80. Determine the magnitude of the vectors A and B. (Assume all angles are measured counterclockwise from the positive x axis.) X How are the x and y components of the vectors related? Can you write the components of each vector in terms of its magnitude and direction? A rough sketch will help you determine the appropriate trigonometry function. Additional Materials Reading Tutorial 9. [-/3 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two position vectors lie in a plane. The first, vector rA, points at an angle of 200 below the positive x-axis and has a magnitude of 43.0 m. The second, vector , points at an angle of 59.50 above the positive x-axis and has a magnitude of 75 m. (a) Choose the diagram below that is correct a graphical representation of rA + FB + y TB rc rc TR +X + X TA TA O O + ) +y rc rc +X TA FA (b) What is the magnitude and direction of vector r? Give the direction as an angle measured counterclockwise from the positive x-axis? magnitude m direction (counterclockwise from the +x-axis)10. [-/2 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 2.7 x 10 kilometers, then turn 70 and travel an additional 2.7 x 105 kilometers to reach the space station. If the captain had not ordered a course correction, what would have been the magnitude and direction of the path of the spaceship if it had traveled through the nebula? space station nebula B A' spaceship magnitude km direction . counterclockwise from the +x axis