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What are unit vectors?
a unit vector is a vector which has exact same direction and has its length or magnitude equal to one
Can any vector be represented by two other vectors that are right angels to each others?
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
Is it possible there is a vector space consisting of exactly two distinct vectors?
No, a vector space cannot consist of exactly two distinct vectors. A vector space must include the zero vector and be closed under vector addition and scalar multiplication. If there are only two distinct vectors, one must be the zero vector, and the other must be a scalar multiple of it, which contradicts the requirement for distinct vectors. Thus, a vector space must contain infinitely many vectors.
How do you find vector components when given the vectors are parallel and the magnitude of each vector is equal to 1?
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
What is the difference between unit vectors and column vectors?
a unit vector is any vector with length or absolute value 1. A column vector is any vector written in a column of since we say an mxn matrix is m rows and n columns, a column vector is mx1 matrix.
how are vectors added head to tail?
Vectors are added head to tail by placing the tail of the second vector at the head of the first vector. The resultant vector points from the tail of the first vector to the head of the second vector, forming a triangle. The length and direction of the resultant vector are determined by the magnitudes and directions of the original vectors.
Is it possible the add a vector and scalar?
no!!!only scalars and scalars and only vectors and vectors can be added.
What is norm on vector space?
It tells us how to measure the length of the vectors.
What are unit vectors?
a unit vector is a vector which has exact same direction and has its length or magnitude equal to one
What two vectors does a vector have?
It has both velocity and direction. A vector has direction and magnitude.
Can any vector be represented by two other vectors that are right angels to each others?
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
Which virus is the mosquito not known as a possible vector?
Smallpox is the virus that mosquitos are not known as a possible vector.
Is it possible there is a vector space consisting of exactly two distinct vectors?
No, a vector space cannot consist of exactly two distinct vectors. A vector space must include the zero vector and be closed under vector addition and scalar multiplication. If there are only two distinct vectors, one must be the zero vector, and the other must be a scalar multiple of it, which contradicts the requirement for distinct vectors. Thus, a vector space must contain infinitely many vectors.
How do you find vector components when given the vectors are parallel and the magnitude of each vector is equal to 1?
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
What is the difference between unit vectors and column vectors?
a unit vector is any vector with length or absolute value 1. A column vector is any vector written in a column of since we say an mxn matrix is m rows and n columns, a column vector is mx1 matrix.
When 2 vectors are added is the resultant vector a distance or displacement?
The resultant vector of adding two vectors is a displacement vector, not a distance vector. Displacement is a change in position measured from the starting point to the end point, while distance is the total length of the path traveled.
Do vectors have direction?
Yes, vectors must have the direction. Without direction, it is simply a scalar quantity.
