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Under what circumstances can a vector have components that are equal in magnitude?
Wiki User
∙ 14y ago
(Magnitude of the vector)2 = sum of the squares of the component magnituides
Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'.
Then
C2 = A2 + B2
You have said that C = A,
so C2 = C2 + B2
B2 = 0
B = 0
The other component is zero.
Wiki User
∙ 12y ago
Wiki User
∙ 15y agoVectors have both direction and magnitude (size). If 2 vectors are pointed in the same direction (same orientation in space) and are of equal size (graphically: length; or quantitatively: magnitude), then the 2 vectors are equal. Right?
Wiki User
∙ 15y agoVector have magnitude AND direction. If two vectors of exactly the same magnitude are separated by 60 degrees in direction, then the resultant would be the third side of an equilateral triangle.
Wiki User
∙ 11y agoYes, because vector are different magnitudes and sometimes can equal or be less than the components
Wiki User
∙ 14y agoare two vectors with the magnitude necessarily equal?
Wiki User
∙ 14y agoThe resultant of two equal and opposite vectors is zero, in any direction you want to consider.
Wiki User
∙ 14y agoyes, it is called as zero vector.
Wiki User
∙ 14y agocf
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Under what circumstances would a vector have a components that equal in magnitude?
When it's pointing exactly northeast, northwest, southeast, or southwest.That is, when its direction is exactly 45 degrees from both the 'X' and 'Y' axes.
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
Under what condition the sum of three vectors will be zero?
Three vectors sum to zero under the condition that they are coplanar (lie in a common plane) and form a triangle. If the vectors are not coplanar, they will not sum to zero. Another way of looking at it is that the sum is zero if any vector is exactly equal in magnitude and opposite in direction to the vector sum (so-called resultant) of the remaining two.
Why vector quantities are not divisible?
I'll assume you are referring to the inverse of the most common process of vector multiplication, namely the formation of an inner product, also called a scalar product or dot product, between two vectors of the same size. In this operation, vectors with, for example, components (a,b,c,d) and (e,f,g,h) must be pairwise multiplied and summed, to arrive at the scalar result ae + bf + cg + dh. Any two ordinary vectors of matching size (number of components) can be "multiplied" to get an inner product. (There is another kind of multiplication of two 3-vectors called the cross-product, which is sometimes invertible, but because the cross-product only works with two vectors in 3-space, it does not seem useful to discuss the cross-product further in the context of general vector division. Similarly, one could individually multiply the components of the two vectors to get a sort of third vector. Although that operation would be invertible under some conditions, I am not aware of any meaning, or physical significance, for the use of that technique. Since the result of taking the inner product of two vectors is a scalar, that is, a single real number, most of the information about the two vectors is lost during the computation. The only information retained by the inner product is the magnitude of the projection of one vector A onto the direction of another vector B, multiplied by the magnitude of B. But division is the inverse operation of multiplication. In a sense, division undoes the work of a previous multiplication. Since all information about the direction of each vector is discarded during the calculation of an inner product, there is not enough information remaining to uniquely invert this operation and bring back, say, vector A, knowing vector B and the value of the scalar product.
An object that has the same speed but changes direction is?
... experiencing vector acceleration, under the influence of a net force acting perpendicular to its direction of motion.
Under what circumstances would a vector have components that are equal in magnitude?
if the vector is oriented at 45 degrees from the axes.
If vector B is added to vector A under what circumstances does the resultant vector A plus B have magnitude A plus B. under what circumstances does the resultant vector equals to zero?
if b + a , since a+b equals b + a due to it being commutative . it shud have the same magnitude and direction
Under what circumstances would a vector have a components that equal in magnitude?
When it's pointing exactly northeast, northwest, southeast, or southwest.That is, when its direction is exactly 45 degrees from both the 'X' and 'Y' axes.
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
If vector c equals vector a plus vector b under what circumstances does c equal a minus b?
When b is zero.
Is it possible to add a scalar to a vector?
It is not possible the addition of scalars as well as vectors because vector quantities are magnitude as well as direction and scalar quantities are the only magnitude; they have no directions at all. Addition is possible between scalar to scalar and vector to vector. Under some circumstances, you may be able to treat scalar quantities as being along some previously undefined dimension of a vector quantity, and add them that way. For example, you can treat time as a vector along the t-axis and add it to an xyz position vector in 3-space to come up with a four-dimensional spacetime vector.
Under normal circumstances what components of the blood cross the capillary wall?
Dissolved gases and ions
Under what condition the sum of three vectors will be zero?
Three vectors sum to zero under the condition that they are coplanar (lie in a common plane) and form a triangle. If the vectors are not coplanar, they will not sum to zero. Another way of looking at it is that the sum is zero if any vector is exactly equal in magnitude and opposite in direction to the vector sum (so-called resultant) of the remaining two.
What is an under vector room?
There does not seem to be an under vector room, but there is vector space. Vector space is a structure that is formed by a collection of vectors. This is a term in mathematics.
Under what circumstances can an object moving with an constant speed (uniform magnitude oits velocity) have an acceleration?
When the direction changes. A simple case is an object moving in a circle, at constant speed.
What is a substance that carries electricity under certain circumstances but not under other circumstances?
A substance that carries electricity under certain circumstances but not under others is called a semiconductor.
What is a substance that carries electricity under circumstances but not under other circumstances is called?
A substance that carries electricity under certain circumstances but not under others is called a semiconductor.
