# Physics

When two vectors vector A and vector B are drawn from a common point, the angle between them is phi.

If vector A and vector B have the same magnitude, for which value of phi will their vector sum have the same magnitude as vector A or vector B?

1. 👍
2. 👎
3. 👁
1. When the triangle of forces is an equilateral triangle, i.e. when φ=120°. So Acos(φ/2)+Bcos(φ/2)=A/2+B/2=A=B

1. 👍
2. 👎

## Similar Questions

1. ### Maths Vector Helpppp

The points A and B have position vectors, relative to the origin O, given by −−→OA = i+2j+3k and −−→OB = 2i+j+3k. The line l has vector equation r = (1−2t)i+ (5+t)j+ (2−t)k. (i) Show that l does not intersect the

2. ### Calculus and vectors

Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is

3. ### Math: Vectors

Find any vector w that is perpendicular to both vector "u = 3j + 4k" and vector "v = 2i". Note: i, j and k are unit vectors How would you solve this problem? Please walk me through?

4. ### Physics

You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector

1. ### math vectors

Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. Can

2. ### Calculus

Sketch the vector field F⃗ (r⃗ )=2r⃗ in the plane, where r⃗ =⟨x,y⟩. Select all that apply. A.All the vectors point away from the origin. B. The vectors increase in length as you move away from the origin. C. All the

3. ### Physics

You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Answer

4. ### physics-vectors

If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then: If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: a. the scaler product of the vectors

1. ### Physics

A stone is shown at rest on the ground. A. The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. B. What is the conventional name of the vector

2. ### Physics

A farmer builds three sections of a fence as shown in the figure where L = 10.00 m, and gets tired. Walking straight back to where he started, how far did he go. d=? Vector on Y-axis going to origin, L/2 vector going on Positive X

3. ### Calculus and vectors

Please help/verify the answer. 1. When you add vectors geometrically: a) vectors are aligned tail to tail b) vectors are aligned head to head c) vectors are aligned head to tail d) vectors are put side by side Is the answer D?

4. ### Calculus and Vectors

(6) Consider the vectors Vector a=(1,2,3) and Vector b=(-3,0,2). (a) Determine the projection of Vector a onto Vector b. (b) A unit vector is a vector of length 1. Determine a simplified unit vector in the same direction as Vector