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josh84
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Homework Statement
A vector in the xy plane has a magnitude of 25 and an x component of 12. The angle it makes with the positive x-axis is:
A)26 degree
B)29 degree
C)61 degree
D)64 degree
E)241 degree
josh84 said:Homework Statement
A vector in the xy plane has a magnitude of 25 and an x component of 12. The angle it makes with the positive x-axis is:
A)26 degree
B)29 degree
C)61 degree
D)64 degree
E)241 degree
Homework Equations
The Attempt at a Solution
Component vectors are used in mathematics and physics to break down a vector into its horizontal and vertical components. This allows for easier analysis and calculation of vector quantities.
To find the angle of a component vector with a magnitude of 25 and an x component of 12, you can use the inverse tangent function (tan^-1) to find the ratio of the vertical component to the horizontal component. This will give you the angle in radians, which can be converted to degrees if needed.
Knowing the angle of a component vector is important because it allows you to determine the direction of the vector. It also helps in vector addition and subtraction, as the angles of the components must be considered in order to accurately calculate the resultant vector.
Yes, the magnitude and components of a vector can be negative. This indicates the direction in which the vector is pointing. A negative magnitude means the vector is pointing in the opposite direction, while negative components indicate the vector is pointing in the opposite direction of that particular axis.
Component vectors have various real-world applications, such as in navigation and engineering. They are used to calculate forces, velocities, and displacements in a specific direction. They are also used in computer graphics to determine the direction and movement of objects.