Vector Á is 3.00 units in length and points along the positive x-axis. Vector B is 4.00 units in length and points along the negative y-axis. Use graphical methods to find the magnitude and direction of the vectors (a) Ã + B and (b) A – B.

A jogger travels a route that has two parts. The first is a displacement A of 2.65 km due south, and the second involves a displacement → B that points due east. The resultant displacement A + B has a magnitude of 4.75 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.75 km. (c) What then would be the magnitude of B, and (d) what is the direction of A - B relative to due south? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Units > > >

Vector G is 40.3 m long in a -35.0° direction. Vector H is 63.3 m long in a 270° direction. Find the magnitude of their vector sum. magnitude (m) Enter

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.

A hiker walks 2.5 miles in a direction 65° West of North, then 3.5 miles in a direction 40° South of West, then 1.5 miles due South. What must be the vector displacement of the hiker during the fourth part of the trip in order for the resultant to be 5.5 miles due West for the entire trip? Drawing a vector diagram or drawing individual vectors will help.

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 5 at an angle of 36.9 counter clockwise from the x-axis. The components Ax and Ay are?

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?