Question

If angle between two vectors is12o then what is the magnitude of resultant vector

Answer 1

Answer :

Angle between two vectors = 120°

We have to find resultant vector of two vectors$.$

By triangle law or parallelogram law of vector addition, the magnitude of resultant vector R at two vectors A and B inclined to each other at angle β, is given by

◈ R² = A² + B² + 2AB cosβ

Here, angle (β) = 120°

➝ R² = A² + B² + 2AB cos120°

We know that, cos120° = -1/2

➝ R² = A² + B² + 2AB (-1/2)

➝ R² = A² + B² - AB

➝ $\underline{\boxed{\bf{\gray{R=\sqrt{A^2+B^2-AB}}}}}$

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