Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length and points along a direction 31 degrees from the positive x-axis, and vector C is 9 units and points along a direction 160 degrees. What is the direction of the resultant with respect to the positive x-axis in degrees?

Vector A has a magnitude of 34 units and points in the positive y-direction. When vector B is added to A, the resultant vector  A+B  points in the negative y-direction with a magnitude of 18 units. Find the magnitude of B?

The x component of vector A is 8.7 units, and its y component is -6.5 units. What is the magnitude of A?

The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector  A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector C is 10.0° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or  A+  B+ C = 0. Find the magnitudes of vector B and vector C .