the addition and subtraction of vectors becomes much easier to perform.

Vector addition using components

In the previous section we have learnt about addition and subtraction of two vectors using geometric methods. But once we choose a coordinate system, the addition and subtraction of vectors becomes much easier to perform.

The two vectors and in a Cartesian coordinate system can be expressed as

Then the addition of two vectors is equivalent to adding their corresponding x, y and z components.

Similarly the subtraction of two vectors is equivalent to subtracting the corresponding x, y and z components.

The above rules form an analytical way of adding and subtracting two vectors.

Tags : with Solved Example Problems , 11th Physics : UNIT 2 : Kinematics

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11th Physics : UNIT 2 : Kinematics : Vector addition using components | with Solved Example Problems

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