Question

In parallelogram law of vectors, the direction of resultant vector is given by ______.

Options

• tan α = \[\frac{Q\cos\theta}{P+Q\sin\theta}\]

• tan α = \[\frac{Q\sin\theta}{P+Q\cos\theta}\]

• tan α = \[\frac{P\sin\theta}{P+Q\cos\theta}\]

• tan α = \[\frac{P\cos\theta}{P+Q\cos\theta}\]

Answer 1

In parallelogram law of vectors, the direction of resultant vector is given by tan α = \[\frac{Q\sin\theta}{P+Q\cos\theta}\].

Explanation:

When two vectors P and Q are inclined at angle θ, the resultant makes angle α with P, where the perpendicular component of Q is Q sin⁡ θ and the total horizontal component is P + Q cos ⁡θ.