State Triangle law of vector addition. By using this law find the relation for magnitude and direction of
resultant of two vectors analytically
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state triangle law of vector addition.by using this law find the relation for magnitude and direction of resultant of two vectors analytically?
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Triangle law of vector addition
- Triangle law of vector addition: “When two vectors are represented in terms of magnitude and direction by two sides of a triangle taken in the same order then the third side of that triangle represents the resultant of the vectors in terms of magnitude and direction.”
- By using this law, the relation for magnitude and direction of resultant of two vectors is given as follows:
- Step-wise vector addition of two vectors using Triangular law of vector addition is given as follows:
- a: Consider the two vectors: A and B
- b: Connect the head of vector A to the tail of vector B. Therefore, the direction of vectors remain the same.
- c: Connect the tail of vector A to the head of vector B using a straight line with an arrow pointing towards the head of vector B.
- d: Thus this new vector is the resultant vector C, where C = A + B
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