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What is the Formula For Calculating The Magnitude Of The Resultant Of Two Or More Vectors Acting At obtuse Angle?
No matter what the angles are:* Express the vectors in Cartesian (rectangular) coordinates; in two dimensions, this would usually mean separating them into an x-component and a y-component. * Add the components of all the vectors. For example, the x-component of the resultant vector will be the sum of the x-components of all the other vectors. * If you so wish (or the teacher so wishes!), convert the resulting vector back into polar coordinates (i.e., distance and direction).
What are eigen values and eigen vectors?
This is a complicated subject, which can't be explained in a few words. Read the Wikipedia article on "eigenvalue"; or better yet, read a book on linear algebra. Briefly, and quoting from the Wikipedia, "The eigenvectors of a square matrix are the non-zero vectors that, after being multiplied by the matrix, remain parallel to the original vector. For each eigenvector, the corresponding eigenvalue is the factor by which the eigenvector is scaled when multiplied by the matrix."
How is trigonometry used in real life?
Trigonometry is used in the fields of design, music, navigation, cartography, manufacturing, physics, optics, projectile motion, and any other field which involves angles, fields, waves, harmonics, and vectors.
What should be the angle between two vectors for there resultant to have maximum magnitude?
Zero. For example, if two people pull in the same direction, they are more effective than if they pull in opposite directions. The latter (180°) is the worst-case scenario in this case.
Is finite rotation a vector?
Finite rotation can be represented as a vector in three-dimensional space, but it is more accurately described using a rotation matrix or a quaternion. In physics and mathematics, rotations are often treated as transformations rather than simple vectors, as they involve orientation changes rather than just magnitude and direction. While one can use angular displacement vectors, these do not fully capture the properties of rotation, such as the non-commutative nature of rotational operations. Thus, while finite rotation can be associated with a vector-like representation, it is best understood through more complex mathematical structures.
What are the three different kinds of vectors?
The three types of vectors are position vectors, displacement vectors, and force vectors. Position vectors represent the position of a point in space relative to a reference point, displacement vectors represent the change in position of an object, and force vectors represent the interaction between objects that can cause acceleration.
What is arthropod vectors?
Vectors of the arthropod.
Can velocity vectors be combined with force vectors?
No
What are the coplanar vectors in mathematics?
Vectors that sum to zero are coplanar and coplanar vectors sum to 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 are magnitudes of two vectors added?
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.
Can the sum of two vectors be equal to either of the vectors explain?
No, the sum of two vectors cannot be equal to either of the vectors individually. In vector addition, the resultant vector is determined by the magnitude and direction of the individual vectors. The sum of two vectors represents the combination of their effects, resulting in a new vector with different properties than the original vectors.
What is the difference between vectors and non-vectors?
Coplanar :The vectors are in the same plane.Non coplanar :The vectors are not in the same plane.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
What is the difference between orthogonal and orthonormal vectors?
All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
Does law of vectors mean triangle law of vectors?
law of vectors also include the parallellogram law .
Is direction is important for equal vectors?
Equal vectors are vectors having same direction of action or orientation as well as same magnitude. If two or more vectors have same magnitude but different direction then they cannot be called equal vectors. This shows that direction is important for equal vectors.
