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Does the order of addition of indivitual vectors affect the final resultant vector?
Wiki User
∙ 16y ago
no it does not affect the outcome
Wiki User
∙ 16y ago
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How angle between vectors affects the resultant?
The Law of Cosines shows the affect of the angle between vectors. R^2 = (A+B)(A +B)*= (AA* + BB* + 2ABcos(AB)) If the angle is less than 90 degrees the resultant squared R^2 is greater than the sum of the vectors squared. If the angle is 90 degrees the resultant squared is the sum of the vectors squared. If the angle is greater than 90 degrees, the resultant squared is less than the Sum of the vectors squared.
Does the order of adding vectors affects the magnitude and direction of the vectors?
No. The order of adding vectors does not affect the magnitude or direction. of the result.
What is the commutive property of a addition?
According to the commutative property of addition, the order of the addends does not affect the result. Thus, A + B = B + A
How are associative and commutative proerties alike and different?
They are alike in so far as they are properties of binary operations on elements of sets. T The associative property states that order in which operations are evaluated does not affect the result, while the commutative property states that the order of the operands does not make a difference. Basic binary operators are addition, subtraction, multiplication, division, exponentiation, taking logarithms. Basic operands are numbers, vectors, matrices.
The commutative propetry of addition states that the order of the addens will not affect the?
The order in which we add two numbers does not change the sum.
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 angle between vectors affects the resultant?
The Law of Cosines shows the affect of the angle between vectors. R^2 = (A+B)(A +B)*= (AA* + BB* + 2ABcos(AB)) If the angle is less than 90 degrees the resultant squared R^2 is greater than the sum of the vectors squared. If the angle is 90 degrees the resultant squared is the sum of the vectors squared. If the angle is greater than 90 degrees, the resultant squared is less than the Sum of the vectors squared.
Does the order of adding vectors affects the magnitude and direction of the vectors?
No. The order of adding vectors does not affect the magnitude or direction. of the result.
How unbalanced forces change the motion of objects?
The forces are vectors, meaning, they have a direction and an intensity. When multiple forces "attack" and object and the result force is not a zero, that means there is a resultant single force that affect the object. That single force has a direction and intensity. As a result of this, the object will start moving along the direction of the resultant force, accelerating with an acceleration that can be calculated as:a = F/mwhere:"a" is the acceleration in m/s2"F" is the intensity of the force"m" is the mass of the object.Now, if in the system of reference (read: from the observer's point of view) the object was moving linearly and with a constant speed, or it was not moving at all, the final direction of the movement can be calculated as a superimposition of the vectors of the initial movement and the changing vector of the accelerated movement caused by the resultant force mentioned above.
How can social influences affect consumption?
Social influences such as advertising affect consumption by creating a perceived need. With the perceived need, the resultant action can be spending even when there is a reduction in expendable income.
How will the addition of water affect the acidity of a highly acidic solution having pH?
The addition of water can affect the acidity of a highly acidic solution in one major way. This addition will bring the pH up closer to 7.
How will addition of water affect the acidity of a highly acidic solution having pH 2?
The addition of water can affect the acidity of a highly acidic solution in one major way. This addition will bring the pH up closer to 7.
What causes motion and how does it affect us?
motion is caused by unbalancing forces acting on an object and unbalancing forces are also known as resultant forces and how does motion affect us? it slows us down in every activity we do.
What is the associative property of addition?
the associative property of addition means that changing the grouping of the addends doesn't affect the sum
Definition for a associative property addition?
the associative property of addition means that changing the grouping of the addends doesn't affect the sum
What is the commutive property of a addition?
According to the commutative property of addition, the order of the addends does not affect the result. Thus, A + B = B + A
How do forces affect motion when the forces are a balanced and b unbalanced?
If the forces on an object are balanced then the object will not move. This simply means that the forces on the object counteract each other. If they are unbalanced then the object will move under the effect of the resultant force. The resultant force is the combination of all of the forces acting on an object.
