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What is the addition of vector?
The addition of vectors involves adding corresponding components together. For example, to add two vectors A = (a1, a2) and B = (b1, b2), the result would be C = (a1 + b1, a2 + b2). The addition of vectors follows the commutative property, meaning A + B = B + A.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
Does the order of addition of indivitual vectors affect the final resultant vector and why?
The order of addition of individual vectors does not affect the final result. The reason is that "addition is commutative", meaning C=A +B = B + A. The laws of multiplication fro vectors is non-commutative and AxB = - BxA. Multiplication of vectors is non-commutative. Vectors and Reals make up our natural numbers called Quaternions . Given a quaternion A=Ar + Av where Ar is the real part of A and Av is the vector part of A and B=Br +Bv, the product is: AB=(Ar + Av)(Br + Bv)= (ArBr - Av.Bv) + (ArBv + AvBr + AvxBv) If the vectors are perpendicular Av.Bv=0, (the dot '.' denotes the cosine product). If the vectors are parallel AvxBv=0, (the cross 'x' denotes the sine product). Unfortunately quaternions multiplication is not taught in schools. Quaternions simplify algebra, trigonometry and vectors. Quaternions are also the natural numbers of the Universe.
How are vectors combined?
Vectors are combined by adding or subtracting their corresponding components. For two-dimensional vectors, you add/subtract the x-components together and the y-components together to get the resulting vector. For three-dimensional vectors, you perform the same process with the addition of the z-components.
Can three vectors not lying in plane give zero resultant?
Yes, three vectors that do not lie in the same plane can give a zero resultant if they form a closed triangle. This can happen when the vectors cancel each other out due to their directions and magnitudes.
What' does the addition of two vectors give you?
In vector addition, the sum of two (or more) vectors will give a resultant vector. There are a number of sites that will help you with tutorials. A link to one can be found below.
What is the difference between vector addition and algebraic addition?
There is no difference between vector addition and algebraic addition. Algebraic Addition applies to vectors and scalars: [a ,A ] + [b, B] = [a+b, A + B]. Algebraic addition handles the scalars a and b the same as the Vectors A and B
What is the difference between parallelogram law of vector addition n triangle law of vector addition?
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.
What is the purpose of vector resolution in adding vectors?
Vector addition does not follow the familiar rules of addition as applied to addition of numbers. However, if vectors are resolved into their components, the rules of addition do apply for these components. There is a further advantage when vectors are resolved along orthogonal (mutually perpendicular) directions. A vector has no effect in a direction perpendicular to its own direction.
What is the condition when two vectors are addition and subtraction are same magnitude?
The condition is the two vectors are perpendicular to each other.
What is the addition of vector?
The addition of vectors involves adding corresponding components together. For example, to add two vectors A = (a1, a2) and B = (b1, b2), the result would be C = (a1 + b1, a2 + b2). The addition of vectors follows the commutative property, meaning A + B = B + A.
How do you add 2 vectors?
Vector addition is commutative so you can start with either vector.The graphical solutions are quite simple.If the vectors are parallel, then their addition is the sum of the two vectors and acts in the same direction.If the vectors are anti-parallel, then their addition is the difference of the two vectors and acts in the direction of the larger vector.If the vectors are not parallel, draw them with their tails together. The complete the parallelogram using these as two of the sides. The addition of the vectors is the diagonal through the first vertex.Otherwise, (and more accurately),if you have vectors a and b inclined at angles p and q to the positive direction of the x axis, then the component of their sum along thehorizontal direction is s = a*cos(p) + b*cos(q)and the vertical component is t = a*sin(p) + b*sin(q)The magnitude of the resultant is sqrt(s2 + t2) and its direction is arctan(t/s) within the appropriate range.
What are vectors and what are the 2 properties of them?
Vectors are quantities that have a value as well as a direction.Vector addition is commutative: x + y = y + xThe value of the sum of two vectors is always less than or equal to the sum of their individual values.|x + y| ≤ |x| + |y|
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
Is it possible to combine two vectors of different magnitude to give a zero resultant if not can three vectors be combine?
Two vectors: no. Three vectors: yes.
When Two vectors have unequal magnitude can their sum be zero explain reason?
No two vectors of unequal magnitude cannot give the sum 0 because for 0 sum the 2 vectors must be equal and in opposite direction
How can vectors be added in either order?
Addition is commutative, A + B = B + A.
