Question

Two vectors A and B are inclined to each other at an angle theta. Using triangle law of vector addition. Find the magnitude and the resultant of their resultant.

please give a detail explanation​

Answer 1

Answer:

Explanation:

Since the vectors A and B are inclined to each other,

the resultant of these two will be the vector joining the tail and head of the vectors in the opposite direction

Resultant = √(A²+B²+2ABcosθ)

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Answer 2

Answer:

Give the derivation for resultant of two vectors and for the angle between resultant and a vector.

or , AC = AB cosθ

or , AC = OD cosθ

= Q cosθ [ AB = OD = Q ]

or , BC = AB sinθ

or , BC = OD sinθ

= Q sinθ [ AB = OD = Q }

R = P2+2PQcosθ+Q2.

Let ϕ be the angle made by resultant R with P . Then,