If three vectors form a triangle , their vector sum is zero.
no because triangle only contain three vectors and if many vector are added then they cant form a triangle
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)
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.
Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule
If three vectors form a triangle , their vector sum is zero.
no because triangle only contain three vectors and if many vector are added then they cant form a triangle
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.
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)
law of vectors also include the parallellogram law .
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.
if two vectors are represented in magnitude and direction by the two sides of a triangle taken in one order ,their resultant vector is represented by the third side of the triangles taken in reverse order
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..
The parallelogram law of vectors states that if two vectors are represented by the sides of a parallelogram, then the diagonal of the parallelogram passing through the point of intersection of the two vectors represents the resultant vector. This means that the sum of the two vectors is equivalent to the diagonal vector.
In adding vectors, you can use the head-to-tail method where you place the tail of the second vector at the head of the first vector. Then, the sum is the vector that goes from the tail of the first vector to the head of the second vector. In subtracting vectors, you can add the negative of the vector you are subtracting by using the same method as vector addition.
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The resultant of two vectors can be computed analytically from a vector parallelogram by determining the diagonal of the parallelogram. The diagonal represents the resultant vector, which can be found by adding the two vectors tip-to-tail. This method is based on the parallelogram law of vector addition.