Addition of vectors by analytical method

Vector of Class 11

1. Write the vectors in the form of their components.

2. Add similar components algebraically with proper sign.

3. After addition (with proper sign) they become the components of the resultant vector.

Example:Addition of vectors by analytical method, Addition of vectors by analytical method

and tan α = ay/ax

Illustration 12.Find the net displacement of a particle from its starting point if it undergoes three successive displacements given Addition of vectors by analytical method= 20 m, 450 West of North, Addition of vectors by analytical method= 15 m, 300 North of East; Addition of vectors by analytical method=20m, due South.

Solution:Let us set our axial system such that x-axis is along West-East and y-axis along South-North.

Addition of vectors by analytical method

= 2m

Direction θ = tan-1 = 350 West of North

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