: a law in physics: the resultant of two vector quantities represented in magnitude, direction, and sense by two adjacent sides of a parallelogram both of which are directed toward or away from their point of intersection is the diagonal of the parallelogram through that point.
What is the parallelogram law of vectors?
According to the parallelogram law of vector addition if two vectors act along two adjacent sides of a parallelogram(having magnitude equal to the length of the sides) both pointing away from the common vertex, then the resultant is represented by the diagonal of the parallelogram passing through the same common vertex ...
Who prove the parallelogram law?
The Parallelogram law states that the sum of the squares of the length of the four sides of a parallelogram is equal to the sum of the squares of the length of the two diagonals. In Euclidean geometry, it is necessary that the parallelogram should have equal opposite sides. 2(AB) 2 + 2 (BC) 2 = (AC) 2 + (BD) 2 .
What is parallelogram method in physics?
The parallelogram rule says that if we place two vectors so they have the same initial point, and then complete the vectors into a parallelogram , then the sum of the vectors is the directed diagonal that starts at the same point as the vectors.
What is parallelogram law for addition and Triangle law?
Their sum, vec{a} + vec{b} is represented in magnitude and direction by the diagonal of the parallelogram through their common point. ... Hence, we can conclude that the triangle and parallelogram laws of vector addition are equivalent to each other .
What is the use of parallelogram law?
a rule for adding two vectors , as forces (parallelogram of forces ), by placing the point of application of one at the point of origin of the other and obtaining their sum by constructing the line connecting the two remaining end points, the sum being the diagonal of the parallelogram whose adjacent sides are the two ...
What do u mean by parallelogram?
: a quadrilateral with opposite sides parallel and equal .
Can a parallelogram be negative?
A parallelogram has vertices at the coordinates negative one, two; zero, four; three, one; and two, negative one.
Is parallelogram law can be proved experimentally?
OC is the resultant R′ of P and Q. Since O is at rest, this resultant R′ must be equal to the third force R (equilibrant) which acts in the opposite direction. ... If OC = OD and ∠COD = 180o , one can say that parallelogram law of force is verified experimentally.
What is difference between parallelogram law and triangle law?
in triangle law of vector addition the third side of the triangle is the resultant but in parallelogram law of vector addition the diagonal is the resultant .
Are diagonals of parallelogram equal?
The diagonals of a parallelogram are NOT equal . The opposite sides and opposite angles of a parallelogram are equal.
What is the triangle law?
A law which states that if a body is acted upon by two vectors represented by two sides of a triangle taken in order, the resultant vector is represented by the third side of the triangle.
