Vector Operations: Adding and Subtracting Vectors in a Flash
1Head-to-tail method
The most common method of adding vectors is the head-to-tail method. This method involves placing the vectors head to tail, so that the tail of the second vector coincides with the head of the first vector. The resultant vector is then drawn from the tail of the first vector to the head of the second vector.
Parallelogram method
The parallelogram method is another method of adding vectors. This method involves drawing the vectors so that their initial points coincide. Then draw lines to form a complete parallelogram. The diagonal from the initial point to the opposite vertex of the parallelogram is the resultant.
Trigonometric method
The trigonometric method is a method of adding vectors that can be used when the vectors are not in the same direction. This method involves using the law of cosines and the law of sines to find the magnitude and direction of the resultant vector.
Algebraic method
The algebraic method is a method of adding vectors that can be used when the vectors are given in component form. This method involves adding the corresponding components of the vectors to find the components of the resultant vector.
Subtraction of vectors
The subtraction of vectors is similar to the addition of vectors. The only difference is that the second vector is subtracted from the first vector. This can be done using either the head-to-tail method, the parallelogram method, or the trigonometric method.
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