Vector A has a magnitude of 3.0 m and direction 1o3 degrees relative to the positive x-axis. Vector B has magnitude 5.0m and direction 215 relative to the positive x-axis.

1) The resultant R=A + B has magnitude?

I did Rx= 3 cos 103 + 5 cos 215

Ry=3 sin 103 + 5 sin 215

Then sqrt Rx^2 + Ry^2 and got 4.77m.

Is this correct?

2) The resultant R has direction?

I do not know how to figure this out. Thank you

1. 👍 0
2. 👎 0
3. 👁 176
1. Hmmmm. Relative to positive x axis. So,

Rx=3cos103+5cos215 yes
Rx=-.6749-4.09=about -4.76 which is indicating your answer is wrong. R has to be bigger than A. Look at Ry

Ry=3*sin103 + 5*sin215=2.93-2.86=.06

1. 👍 0
2. 👎 0
👨‍🏫
bobpursley
2. so for the direction of the resultant R would it be between 90 and 180 degrees?

1. 👍 0
2. 👎 0
3. Actually I think that the direction would be between 180 and 270 degrees since the R is bigger than A but less than B. Would you agree?

1. 👍 0
2. 👎 0

## Similar Questions

1. ### physics

the magnitude of vector A is 35 units and points in the direction 325 degrees counterclockwise from the positive X-axis. calculate the X and y components of the vector

2. ### Physics

2. A person is walking in downtown Chicago. He starts 7 blocks north and 3 blocks west of the city’s center. He then walks to a position of 12 blocks north and 1 block east of the city’s center. What was his displacement

3. ### physics honors

You are given a vector in the xy plane that has a magnitude of 100.0 units and a y component of -50.0 units (b) Assuming the x component is known to be positive, specify the vector which, if you add it to the original one would

4. ### Physics

A. Given two vectors ~F1, and ~F2. Where the magnitude of these vectors are F1= 81 N, and F2= 90 N. And where θ1= 80◦,and θ2= 22◦. The angles are measure from the positive x axis with the counterclockwise angular direction

1. ### physics

If Vx= 8.00 units and Vy= -6.40 unis, determine (a)the magnitude and (b)direction of ->V(vector) b) theta= ______ degrees below the positive x-axis.

2. ### PHYSICS

Vector A⃗ points in the negative x direction and has a magnitude of 22 units. The vector B⃗ points in the positive y direction. partA:Find the magnitude of B⃗ if A⃗ +B⃗ has a magnitude of 37 units. partB: Sketch A⃗ and

3. ### wits

Vector A has magnitude of 75 units and points in the positive x direction.vector C = A+B points points in the y direction and has magnitude of 95m.(a) sketch vector A; B & C. (b) Estimate the magnitude & direction of vector B. (c)

4. ### Physics

An air traffic controller observes two airplanes approaching the airport. The displacement from the control tower to plane 1 is given by the vector A , which has a magnitude of 220 km and points in a direction 32 degrees north of

1. ### Physics

A jogger runs 145m. in a direction 20.0 degrees east of north (displacement of vector A) and then 105m. in a direction 35.0 degrees south of east (displacement of vector B). Using components, determine the magnitude and direction

2. ### Physics

6. A woman takes her dog Rover for a walk on a leash. To get the little poco moving forward, she pulls on the leash with a force of 20.0 N at an angle of 37 degrees above the horizonta. How much force is tending to lift Rover off

3. ### PHYSICS

1. Vecor 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 150 degrees from the positive x-axis. What is the direction of the resultant relative to the positive

4. ### physics

The x-component of vector A is -25.0 m and the y-component is +40.0 m. a) what is the magnitude of vector A? b) What is the angle between the direction of vector A and the positive direction of vector x? can you please help me