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What is the vector law of addition?

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Triangle law of vector addition states that if two vectors are represented by two sides of a triangle (in direction and in magnitude), then the resultant vector is represented by the third side of the triangle taken in opposite direction (in direction and in magnitude). read more

Then their sum is taken as the vector whose initial point is the initial point of the first and which terminates at the terminating point of the second. This is also known as the parallelogram law or triangular law of addition and gives the same vector as obtained by adding the vectors component-wise. read more

The resultant vector is shown by C.This is known as the parallelogram law of vector addition. By using the orthogonal system of vector representation the sum of two vectors. a = \(a_1 \hat{i} + a_2 \hat{j} + a_3 \hat{k}\) and b = \(b_1 \hat{i} + b_2 \hat{j} + b_3 \hat{k}\) is given by adding the components of the three axes separately. read more

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