Q#02: Two vectors have magnitudes 4 and 5 units. The angle between them is 30 taking the first vector along X-axis. Calculate the magnitude and the direction of the resultant
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Answer:
R = √(A² + B² + 2AB cosФ)
⇒ R = √(4² + 5² + 2×4×5× cos30°)
⇒ R = √(16 + 25 + 20√3)
⇒ R = √(41+20√3)
tanβ = BsinФ/(A + B cosФ)
⇒ β = tan^(-1) × 5/(8 + 5√3)
Explanation:
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