Vector A has a magnitude of 3.0m, directed 40 degrees south of east. vector B has a magnitude of 4.0m directed 35 degrees north of west. Calculate the resultant vector R=A+B (magnitude and direction) by means of component method.

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 .

Vector V1 is 5.0 units long and points along the negative x-axis. Vector V2 is 10.0 units long and points at an angle of 30.0 degrees above the positive x-axis. (a) Find the x and y components of the vector sum V2 + V1 and then determine the magnitude and direction of the vector sum V2+V1. (b) Sketch the vector sum V2+V1 on a grid.

A vector  A  has components  Ax = −3.00 m  and  Ay = 6.00 m.  Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.

Vector  A  has a magnitude of 24 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 11 units. Find the magnitude and direction of  B. magnitude=

A vector A has a magnitude of 17 (in some unspecified units) and makes an angle of 23° with the x-axis, and a vector B has a magnitude of 24 and makes an angle of 70° with the x-axis. Compute the magnitudes and directions of the vectors. C = A + B (a) magnitude direction (b) C=A-B в magnitude direction (c) C = A + 4B magnitude direction (d) = -A-7B ℃ magnitude direction ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) O (counterclockwise from the +x-axis)

Vector  A  has a magnitude of 23 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 15 units. Find the magnitude and direction of  B.

A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?

An ocean liner leaves New York City and travels 16.2°north of east for 117 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north? S (a) Number i Units (b) Number i Units

Vector X has magnitude 9.0 m and is directed east. Vector Y has magnitude 8.0 m and is directed north. What is the resultant displacement of the vectors?