Question

Vector A is directed along the positive y-axis and has magnitude √(3.0) units. Vector B is...

Vector A is directed along the positive y-axis and has magnitude √(3.0) units. Vector B is directed along the negative y-axis and has has a magnitude 1.0 unit. What is the magnitude and direction of A + B?

Homework Answers

Answer #1

Given vector units in the positive y-axis and vector B= 1 in the negative y-axis. So the angle between the two vectors is .

Since the two vectors are opposite in direction, the direction of the resultant will be in the direction of the vector having larger magnitude. So the direction of is along positive y-axis.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Vector A has a magnitude of 7.20 units and makes an angle of 25.0° with the...
Vector A has a magnitude of 7.20 units and makes an angle of 25.0° with the positive x axis. Vector B also has a magnitude of 7.20 units and is directed along the negative x axis. Using graphical methods, find the following. (a) the vector sum A + B ___units at ___ ° counterclockwise from the positive x axis (b) the vector difference A - B __ units at __° counterclockwise from the positive x axis
The vector ?⃗ is directed 30° clockwise off the positive y-axis with magnitude 2. Draw this...
The vector ?⃗ is directed 30° clockwise off the positive y-axis with magnitude 2. Draw this vector. Express ?⃗ in component form and in the form ??⃗ + ??⃗. Make sure your calculator is configured for degrees.
- -    - In the figure; the magnitude of vector A is 18.0 units, and the...
- -    - In the figure; the magnitude of vector A is 18.0 units, and the magnitude of vector B is 12.0 units (the 30.0° angle is between vector B and the -y axis, as shown ). What vector C- (magnitude and direction) must be added to the vectors A and B so that the resultant of these three vectors points in the negative x direction and has a magnitude of 7.5O units?
Determine the magnitude of the resultant vector when you add the following four vectors: Vector A...
Determine the magnitude of the resultant vector when you add the following four vectors: Vector A has a magnitude of 13.0 m and is directed 20.0° above the -x axis, vector B has a magnitude of 11.0 m and is directed in the +y direction, vector C has a magnitude of 12.0 m and is directed 35.0° below the -x axis, and vector D has a magnitude of 28.0 m and is directed 50.0° below the +x axis.
You are given a vector in the xy plane that has a magnitude of 83.0 units...
You are given a vector in the xy plane that has a magnitude of 83.0 units and a y component of -68.0 units. What are the two possibilities for its x component? X1,X2 = 47.6, -47.6 Assuming the x component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the -x direction. (V=?) Specify the...
The current in a wire is directed along the y-axis in a uniform magnetic field. The...
The current in a wire is directed along the y-axis in a uniform magnetic field. The resulting force on the wire is directed along the negative z-axis. The magnetic field is directed along the +x axis +y axis -x axis -y axis None of the above.
Vectors A and B lie in an xy plane. Vector A has a magnitude of 8.1...
Vectors A and B lie in an xy plane. Vector A has a magnitude of 8.1 and angle 144 degrees relative to +x direction; Vector B has components Bx= -4.31 and By= -8.51. What are the angles between the negative direction of the y axis and a) the direction of Vector A, b) direction of the product of Vector AxB, and c) the direction of Vector Ax(Vector B + 3.00k)?
Given that: A~ has a magnitude of 5 units and is directed East, B~ has a...
Given that: A~ has a magnitude of 5 units and is directed East, B~ has a magnitude of 5 units and is directed North East, C~ has a magnitude of 5 units and is directed West. Find the magnitude and direction of the resultant of the sum of the vectors using: (a) The algebraic method, (b) The graphical method
Vector A has magnitude of 8.0 at an angle of 20.0deg from the x-axis. Vector B...
Vector A has magnitude of 8.0 at an angle of 20.0deg from the x-axis. Vector B has magnitude of 7.0 at an angle of -10.0 deg from the x-axis. Let C=A+B. Let D=A-B. Let V=2*A-B. 1.What is the x-component of vector C? 2.What is the y-component of vector C? 3.What is the x-component of vector D? 4.What is the y-component of vector D? 5.What is the x-component of vector V? 6.What is the y-component of vector V?
A long insulated wire is stretched along the x-axis. A current of 2.0 A flows in...
A long insulated wire is stretched along the x-axis. A current of 2.0 A flows in this wire in the positive x-direction. Another long insulated wire is stretched along the y-axis. It carries a current of 9.3 A in the negative y-direction. What is the magnitude of the magnetic field at the point (x=6.9cm, y=1.8cm)? The answer may be given in the units of mT or uT. The answer should be positive if the direction of the magnetic field is...