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These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.

Resolving vectors

This video explains how horizontal (x) and vertical (y) components of a vector (resultant) can be obtained by constructing a right-angled triangle and using trigonometry.  Two examples are given.

1. A plane flying N-E (60⁰ from north) at 50m/s.

The horizontal component = 50cos30⁰

The vertical component = 50sin30⁰

2. A generalised case of a force acting at an angle of θ to the horizontal (x) axis provides the formulae:

Fx = Fcos θ and Fy = Fsin θ

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