Answer:
The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).
Step-by-step explanation:
Geometrically speaking, a vector is the change between a final point and a initial point. Since vector are located in space, the origin is represented by point (0, 0, 0) That is:
[tex]\vec v = (3,-2,3)-(0,0,0)[/tex]
[tex]\vec v = (3-0,-2-0,3-0)[/tex]
[tex]\vec v = (3,-2,3)[/tex]
The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).
To solve the problem we must know about Vector points.
A point is a position in space. It is represented by a dot.
A vector is something that has both magnitude and direction but no fixed position in space. it is represented by an arrow pointing in a particular direction.
When we draw vectors, we attach them to specific points, but we should remember that the vector has no fixed position. These points are known as vector points.
The vector will point toward the point (3, -2, 3) in space.
As we know a vector has no fixed position in space, but it points towards its final condition starting from the initial condition. Therefore, its tail is towards the initial condition while its arrowhead is towards the final condition. Thus,
Final condition - Initial Condition
= (3, -2, 3) - (0, 0, 0)
= (3-0, -2-0, 3-0)
= (3, -2, 3)
Hence, the vector will point toward the point (3, -2, 3) in space.
Learn more about Vector Points:
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