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Answer :
Final answer:
In 3D, there are three unit vectors i, j, and k that define the three-dimensional coordinate system.
Explanation:
In three-dimensional (3D) space, vectors have three components.
To define a three-dimensional coordinate system, we need three unit vectors: the unit vector of the x-axis (i), the unit vector of the y-axis (j), and the unit vector of the z-axis (k). These unit vectors help specify the location of a point in 3D space by giving the coordinates (x, y, z).
Therefore, there are three vectors in 3D space, one for each coordinate axis.
Thus, In 3D, there are three unit vectors that define the three-dimensional coordinate system: i, j, and k. These unit vectors represent the directions of the x-axis, y-axis, and z-axis respectively.
So, in 3D, there are three vectors.
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Rewritten by : Barada
There are three vectors in three-dimensional space, namely the X-axis, the Y-axis, and the Z-axis.
What is vector?
Vector is a term used to describe a mathematical quantity that has both magnitude and direction, such as velocity, force, and acceleration. A vector can be represented by an arrow, with its length representing the magnitude and its direction indicating the direction. Vectors can be added together or scaled to create new vectors. Vector operations are essential in physics, engineering, and other fields of mathematics.
Each of these vectors has a magnitude and direction and can be used to represent any point in 3D space. All three axes intersect at the origin, which is the point (0,0,0). Vector algebra can be used to describe and calculate the relationships between these vectors in 3D space.
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