write the expression for the magnitude and direction of the resultant of two vectors acting at a point
Answers
Answer:
Parallelogram law states that if two vectors are considered to be the adjacent sides of a Parallelogram, then the resultant of two vectors is given by the vector which is a diagonal passing through the point of contact of two vectors.
In the figure
P
and
Q
are two vectors.with magnitudes equal to length OA and OB respectively and making angle θ between them. Complete the parallelogram, OACB,
Join diagonal OC , that makes angle α with vector
P
.
According to parallelogram law of vectors the resultant is represented by the diagonal passing through the point of contact of two vectors.
To find the magnitude of resultant , produce a perpendicular CD to meet OA produced to D.
From △ OCD,
OC
2
=OD
2
+CD
2
Explanation:
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