Operations on vectors in magnitude and direction form - Vectors
Operations on vectors in magnitude and direction form
By now we should be able to add or subtract vectors if we are given their components, but what if we are only given their magnitudes and direction angles instead? In this section, we will learn how to perform operations on vectors presented in magnitude and direction form, using the "three-steps approach".
Basic concepts:
- Pythagorean theorem
- Use sine ratio to calculate angles and sides (Sin = )
- Use cosine ratio to calculate angles and sides (Cos = )
- Use tangent ratio to calculate angles and sides (Tan = )
Related concepts:
- Polar form of complex numbers
Lessons
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4.
Particle is acted upon by the following forces:
• Force A with a magnitude of 30N towards north west
• Force B with a magnitude of 20N towards East
• Force C with a magnitude of 15N in the direction of 25° south of west
