state the prove parellogram law of vector addition and determine the magnitude direction of resultant vector
Answers
Answer:
If two vectors acting simultaneously at a point can be represented both in magnitude and direction by the adjacent sides of a parallelogram drawn from a point, then the resultant vector is represented both in magnitude and direction by the diagonal of the parallelogram passing through that point.
Answer:
Statement of Parallelogram Law
If two vectors acting simultaneously at a point can be represented both in magnitude and direction by the adjacent sides of a parallelogram drawn from a point, then the resultant vector is represented both in magnitude and direction by the diagonal of the parallelogram passing through that point.
Proof:
Let A and B are the two vectors be represented by two lines OP and OQ
drawn from the same point. Let us complete the parallelogram and name it as OPTQ. Let the diagonal be OT
Since PT is equal and parallel to OQ , therefore, vector B can also be represented by PT
Applying the triangle's law of vector to triangle OPT.
OT = OP + PT ⇒ R = A + B