0
When two nonzero vectors A and B are added and the sum has magnitude 3 it's possible that A equals B equals 3?
Wiki User
∙ 13y ago
The vectors can not be both equal, but they can have the same magnitude of 3, if they are at a 60 degree angle.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
If A plus B equals 0 than what can you say about the components of the two vectors?
The components of these vectors will be equal in magnitude but opposite in direction. This can be proved as follows.If A+B=0 then A=-BOr Axi+Ayj+Azk=-(Bxi+Byj+Bzk)Comparing the co-efficients of i, j, kAx=-Bx Ay=-By Az=-BzThis shows that components of A and B are equal in magnitude to each other but are opposite in direction.
Find -x when x equals 80?
If you are talking about real number system then -X equals -80. Else, if you are talking about vectors then -X will be another vector of magnitude 80, which will act along a direction just opposite to X (i.e., making an angle 180 degree with X).
What is cross-product and dot-product?
Cross products and dot products are two operations that can be done on a pair of 2-dimensional, 3-dimensional, or n-dimensional vectors. Both can be viewed in terms of mathematics or their physical representations.The dot product of two three-dimensional vectors A= and B= is a1b1+ a2b2 + a3b3. The definition in high dimensions is completely analogous. Notice that the dot product of two vectors is a scalar, not a vector. The dot product also equals |A|*|B|cosθ, where |A| and |B| are the magnitudes of A and B, respectively and θ is the angle between the vectors. This is the same as saying that the dot product is the magnitude of one vector multiplied times the component of the second vector that is parallel to the first. Notice that this means that the dot product of two vectors is 0 if and only if they are perpendicular.The cross product is a little more complicated. In three dimensions, A × B = . Notice that this operation results in another vector. This vector always points in a direction perpendicular to both A and B, and this direction can be determined by the right-hand rule. Physically, the magnitude of this vector equals |A|*|B|sinθ, or the magnitude of the first vector times the component of the other that is perpendicular to the first. So the cross product is 0 when the vectors are parallel.
If vector A has a magnitude of 14 meters and vector B has a magnitude of 6 meters Vector C equals A-B The magnitude of C cannot be?
The magnitude of C cannot be >20.
Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
If is added to under what conditions does the resultant vector have a magnitude equal to A B?
1. When the two vectors are parlell the magnitude of resultant vector R=A+B. 2. When the two vectors are having equal magnitude and they are antiparlell then R=A-A=0. For more information: thrinath_dadi@yahoo.com
What is a nonzero fraction?
Any fraction that has a zero as the numerator equals zero. Any fraction that does not have a zero in the numerator would be a nonzero fraction.
If A plus B equals 0 than what can you say about the components of the two vectors?
The components of these vectors will be equal in magnitude but opposite in direction. This can be proved as follows.If A+B=0 then A=-BOr Axi+Ayj+Azk=-(Bxi+Byj+Bzk)Comparing the co-efficients of i, j, kAx=-Bx Ay=-By Az=-BzThis shows that components of A and B are equal in magnitude to each other but are opposite in direction.
When a nonzero integer is divided by it's opposite is -1?
Yes, when a nonzero integer is divided by it's opposite it's value equals -1
The exponential expression b0 equals for any nonzero base b?
1
Find -x when x equals 80?
If you are talking about real number system then -X equals -80. Else, if you are talking about vectors then -X will be another vector of magnitude 80, which will act along a direction just opposite to X (i.e., making an angle 180 degree with X).
Any nonzero integer divided by 0 equals 0?
No. Division by 0 is not permitted.
If the x-component of B equals the magnitude of B then is it By equals zero?
Yes.
If vector A has a magnitude of 14 meters and vector B has a magnitude of 6 meters Vector C equals A-B The magnitude of C cannot be?
The magnitude of C cannot be >20.
What is cross-product and dot-product?
Cross products and dot products are two operations that can be done on a pair of 2-dimensional, 3-dimensional, or n-dimensional vectors. Both can be viewed in terms of mathematics or their physical representations.The dot product of two three-dimensional vectors A= and B= is a1b1+ a2b2 + a3b3. The definition in high dimensions is completely analogous. Notice that the dot product of two vectors is a scalar, not a vector. The dot product also equals |A|*|B|cosθ, where |A| and |B| are the magnitudes of A and B, respectively and θ is the angle between the vectors. This is the same as saying that the dot product is the magnitude of one vector multiplied times the component of the second vector that is parallel to the first. Notice that this means that the dot product of two vectors is 0 if and only if they are perpendicular.The cross product is a little more complicated. In three dimensions, A × B = . Notice that this operation results in another vector. This vector always points in a direction perpendicular to both A and B, and this direction can be determined by the right-hand rule. Physically, the magnitude of this vector equals |A|*|B|sinθ, or the magnitude of the first vector times the component of the other that is perpendicular to the first. So the cross product is 0 when the vectors are parallel.
Calculate the magnitude of the force.F equals 30i -40j?
50n
