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Under what circumstances would a vector have components that are equal in magnitude?
if the vector is oriented at 45 degrees from the axes.
A vector may be resolved into only two components?
No, a vector in 3-d space would normally be resolved into 3 components. It all depends on the dimensionality of the space that you are working within.
How is this vector called whose angle is 180 degree?
That alone is not a vector, as a vector has both definite direction and amplitude, such as the course of an aircraft or the components of a triangle of forces. Drawing an angle of 180º between two straight lines would give simply one straight line, chaining one to the other.
How do you add vectors that are perpendicular?
Vectors can be added graphically: draw one vector on paper, move the other so that its tail coincides with the head of the first. Vectors can also be added by components. Just add the corresponding components together. For example, if one vector is (10, 0) and the other is (0, 5) (those two would be perpendicular), the combined vector is (10+ 0, 0 + 5), that is, (10, 5). Such a vector can also be converted to polar coordinates, that is, a length and an angle; use the "rectangular to polar" conversion on your scientific calculator to do that.
Why a unit vector is aone type of vector but a vector is not a unit vector?
A unit vector is a vector whose magnitude is one. Vectors can have magnitudes that are bigger or smaller than one so they would not be unit vectors.
How would you define the zero vector 0?
The zero vector, denoted as 0, is a vector with all components equal to zero. It serves as the additive identity element in vector spaces, meaning that adding it to any vector does not change the vector's value.
Are direct cosines of a vector unique?
No, the direct cosines of a vector are unique only up to a sign change. This means that if a set of direct cosines uniquely defines a vector, a set of direct cosines with opposite signs for all components would define the same vector.
What is the angle between rectangular componenet of a vector?
If the components are in the i and j directions, for example, then if the vector is mi + nj then the coefficients m and n can be used to find the magnitude and direction.The magnitude is the hypotenuse of a right triangle with legs m and n, so it is sqrt(m² + n²).
Under what circumstances would a vector have components that are equal in magnitude?
if the vector is oriented at 45 degrees from the axes.
How would you define commercial components?
Commercial components refer to the items of a commercial.
A vector may be resolved into only two components?
No, a vector in 3-d space would normally be resolved into 3 components. It all depends on the dimensionality of the space that you are working within.
What is component method of vector vector addition?
Any vector could be resolved into perpendicular components one along x axis and the other along y axis. So all vectors would be split into two components. Now we can easily add the x components and y components. If all in the same simply addition. If some are in opposite we have to change its sign and add them. Finally we will have only two one along x and another along y. Now we can get the effective by using Pythagoras.
Why is it necessary to place the arrow head of the vector in the terminal?
Placing the arrowhead at the terminal point of a vector indicates the direction in which the vector is acting. Without the arrowhead, the vector would be ambiguous and could be interpreted in multiple directions. The arrowhead helps to clearly define the magnitude and direction of the vector.
Vector may be resolved into only three components?
A vector may be represented as a combination of as many components as you feel would satisfy you, without limit. Whatever ludicrous quantity you choose, for whatever private reason, a group of that many vectorlets can always be defined that combine to have precisely the magnitude and direction of the original single vector. Even though this fact is worth contemplating for a second or two, it's generally ignored, mainly because it is so useless in the practical sense ... it doesn't make a vector any easier to work with when it is replaced by 347 components, for example. The most useful number of components is: one for each dimension of the space in which the original vector lives. Two components to replace a vector on a flat graph, and three components to replace a vector in our world.
Vector may be resolved into only two components?
A vector may be represented as a combination of as many components as you feel would satisfy you, without limit. Whatever ludicrous quantity you choose, for whatever private reason, a group of that many vectorlets can always be defined that combine to have precisely the magnitude and direction of the original single vector. Even though this fact is worth contemplating for a second or two, it's generally ignored, mainly because it is so useless in the practical sense ... it doesn't make a vector any easier to work with when it is replaced by 347 components, for example. The most useful number of components is: one for each dimension of the space in which the original vector lives. Two components to represent a vector on a flat graph, and three components to represent a vector in our world.
Under what circumstances would a vector have a components that equal in magnitude?
A vector would have components that are equal in magnitude when it points diagonally in a 45-degree angle relative to the axes. In this case, both the x-component and y-component would have the same magnitude, resulting in a balanced vector.
When the component of vector have equal in magnitude?
In two dimensions, that would mean that the vector is at an angle of 45° or 135°. Often there is nothing special about this, since this typically depends on the coordinates chosen, which are often quite arbitrary.
