If the three sides of a triangle are represented by vectors then the sum of two sides in same direction is equal to the third side in opposite direction..
Using Gravesand's apparatus
no because triangle only contain three vectors and if many vector are added then they cant form a triangle
There is basically no difference. They are nothing more than 2 different visualizations of how we can graphically add two vectors.strictly if we say there is one and only difference is that---Triangle law of vector addition states that when 2 vectors r acting as the adjacent sides of a triangle taken in order. third side of the triangle will give the magnitude of th resultant 7 direction is in opposite order.Parallelogram law of vector addition states that if 2 vectors r acting as the adjacent sides of a parallelogram, then the diagonal of parallelogram from the point of intersection of two vectors represent their resultant magnitude & direction.
In order to bring the system to equilibrium, action and reaction cancel out. The resultant is the reaction.
Yes.
Any physical quantity which has both direction and magnitude is called a vector. A quantity must also obey the 'Triangle law of vector addition' to be called as a vector. For example displacement is a vector, u can say a person moved 5 km (magnitude) along west(direction). But electric current is not a vector, it has magnitude and its direction is from +ve terminal to -ve terminal but it doesn't obey triangle law. Rather currents are added as scalars.
If three vectors form a triangle , their vector sum is zero.
The "vector triangle" illustrates the "dot product" of two vectors, represented as sides of a triangle and the enclosed angle. This can be calculated using the law of cosines. (see link)
The triangle law states that if two vectors are represented as two sides of a triangle, then the resultant of the vectors is represented by the third side of the triangle, drawn from the initial point of the first vector to the terminal point of the second vector. It is used to calculate the resultant of two vectors by parallelogram law.
ya they just accidentally said law of vectors instead.
The triangle law of forces states that if two forces acting simultaneously on a point can be represented in magnitude and direction by the two sides of a triangle taken in order, then the resultant force can be represented by the third side of the triangle. This law is fundamental in vector addition, illustrating how forces can be combined to determine their resultant. Essentially, it provides a geometric method for analyzing the effects of multiple forces acting at a point.
The parallelogram law of vector addition states that if two vectors are represented as two adjacent sides of a parallelogram, the resultant vector can be obtained by drawing a diagonal from the point where the two vectors originate. Mathematically, this law can be expressed as ( R^2 = A^2 + B^2 + 2AB \cos(\theta) ), where ( R ) is the magnitude of the resultant vector, ( A ) and ( B ) are the magnitudes of the two vectors, and ( \theta ) is the angle between them. This law illustrates how vectors can be combined geometrically and is fundamental in understanding vector addition in physics and mathematics.