Chapter 11.2, Problem 8E

Give the magnitude and direction for each vector. 7. (3,4) 8. (8/2,-8/2) 9. i+ V3 j 10. -3i - 5j

Vectors A and B form a 30° angle. A= 3 and B = 5. What is 4 - B?

N. The figure below shows a trajectory of a satellite that is launched from point A using a rocket, to point C in space, this movement AC took a certain time. Then it moved towards point B [angle ACB is 90 degrees] in 1.4 hours. At this moment of time, the distance between the launching point and the satellite measured in travelling hours, AB = 1.9 hours. The angle CAB = 50.0°. Write down the vectors CB and AB in terms of i and j components [Cartesian format]. Write down an equation relating AC, AB and CB as vectors, then find the vertical travelling duration points A and C, or the vector AC? [Hint: you can simplify the problem by rotating the triangle such that AC coincides with the y-axis] B A

1. Find a unit vector that has the same direction as the vector (-4, 2, 4). 2. What is the angle between the vector 8i + 6j and the positive direction of the x-axis?