- #1
josh84
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Homework Statement
A certain vector in the xy plane has an x component of 4 and a y component of 10. It is rotated in the xy plane so its x component is doubled. Its new y component is about:
A. 20
B.7.2
C.5.0
D.4.5
E.2.2
A vector is a mathematical quantity that has both magnitude and direction. It is represented by an arrow pointing in the direction of the vector, with the length of the arrow representing the magnitude of the vector.
Vectors are used in many scientific fields, such as physics, engineering, and biology. They are used to represent physical quantities such as force, velocity, and acceleration, and they are also used in mathematical models to describe and predict various phenomena.
Some examples of vector quantities are displacement, velocity, acceleration, force, and momentum. These quantities have both magnitude and direction, and can be represented by vectors.
Vectors are added and subtracted using mathematical operations called vector addition and vector subtraction. In vector addition, the components of two or more vectors are added together to find the resultant vector. In vector subtraction, the components of one vector are subtracted from the components of another vector to find the resultant vector.
A vector has both magnitude and direction, while a scalar only has magnitude. Scalars can be represented by a single number, while vectors require at least two numbers (or components) to be fully described. Examples of scalars include temperature, time, and mass, while examples of vectors include displacement, velocity, and force.