# Vector Common Point Angles

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

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

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Three horizontal ropes pull on a large stone stuck in the ground, producing the vector forces A, B, and C shown in the figure that I have attached.

(a) Find the magnitude of a fourth force on the stone that will make the vector sum of the four forces zero. I dont know how to set up this problem.

(b) Find the direction of a fourth force on the stone that will make the vector sum of the four forces zero.(counterclockwise from positive x-axis.

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The expert examines vector common point angles.

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Hello and thank you for posting your question to Brainmass!

The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

In two dimensions the general vector can be written as

(1.1)

Where R is the magnitude of the vector and is the angle the vector makes with ...

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