Finding the Angle Between Two Vectors with Equal Magnitudes

In summary, when adding two vectors with equal magnitudes, the resulting vector can be visualized as the diagonal of an isosceles triangle formed by placing the vectors tip to tail. In this case, the angle between A and B would be 45 degrees.
  • #1
madinsane
32
0

Homework Statement



Vectors A and B have equal magnitudes of 10.0. If the sum of A and B is the vector 3.13j , determine the angle between A and B

Homework Equations



none

The Attempt at a Solution



I gave both A and B the length r=10
I don't know how to add them together if I don't know them.
Please tell me where to start
 
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  • #2
When you add two vectors you place the second on the tip of the first the addition is then the vector from the base of the first to the tip of the second. If you draw it out it's a triangle and since A and B have equal lengths then it's an isosolese? triangle.
 
  • #3
jedishrfu said:
When you add two vectors you place the second on the tip of the first the addition is then the vector from the base of the first to the tip of the second. If you draw it out it's a triangle and since A and B have equal lengths then it's an isosolese? triangle.
okay, which would make the angle 45 degrees?
 

1. What is vector addition?

Vector addition is the process of combining two or more vectors to create a new vector. This is done by adding the corresponding components of each vector together.

2. How do you add vectors graphically?

To add vectors graphically, you first draw each vector with its correct direction and magnitude. Then, you place the tail of the second vector at the head of the first vector. The resulting vector is the sum of the two vectors, with its tail at the tail of the first vector and its head at the head of the second vector.

3. What is the magnitude of a vector?

The magnitude of a vector is the length or size of the vector, represented by a non-negative scalar value. It is calculated using the Pythagorean theorem, which states that the magnitude of a vector is equal to the square root of the sum of the squares of its components.

4. How do you find the magnitude of a vector?

To find the magnitude of a vector, you can use the Pythagorean theorem or the formula: |V| = √(Vx^2 + Vy^2 + Vz^2), where Vx, Vy, and Vz are the x, y, and z components of the vector, respectively. Alternatively, you can also use the distance formula, which is the same as the Pythagorean theorem.

5. Can the magnitude of a vector be negative?

No, the magnitude of a vector is always a positive value. It represents the distance or length, which cannot be negative. However, the direction of a vector can be negative if it is pointing in the opposite direction of the positive axis.

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