ADDITION OF VECTORS

ADDITION OF VECTORS

ADDITION OF VECTOR – Vectors can not be added by simple laws of algebra.

Rules of geometric addition of vectors

  • For the addition of two vectors – For the addition of two vectors represent these two vectors by arrowed lines using the same scale . Displace the second vector as its coincide with the head of first vector , then the single vector drawn from the tail of the first vector to the head of the second vector represent their resultant ( addition) vector.

the addition of two vectors can be obtained using Triangle law or parallelogram law of vector addition

  • For the addition of three or more vectors – Represent these vectors by arrowed lines using the same scale . Displace these vectors such that the head of the first vector coincide with the tail of the second vector and head of second coincide with the tail of third vector and so on , then the single vector drawn from the tail of the first to the head of the last represent their resultant vector. The addition of three or more vectors can be found using polygon law of vector addition.

Triangle law of vector addition-   It states that if two vectors acting on a particle represented by two sides of a triangle in same order , then the third side in opposite order gives the resultant vector.

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