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When should you express a vector along the x-axis as a negative vector?
You should express a vector along the x-axis as negative when it points in the negative x-direction relative to a chosen positive direction. This convention helps maintain consistency with vector addition and trigonometric methods.
When should you express a vector along the x axis as a negative vector?
When the arrow representing the vector would point toward negative x.
What is the angle measured counterclockwise from the x-axis to vector A?
The angle measured counterclockwise from the x-axis to vector A is the direction of the vector relative to the x-axis. It is typically expressed in degrees or radians, with 0 degrees corresponding to the positive x-axis.
What is the vector equation of the x axis?
x=0
Can a vector directed along x-axis have y-axis component?
At what angle should a vector be directed to so that its x component is equal to its y component
How do you reflect over the y axis when your x axis is already negative?
The bit with the negative x-axis goes to the positive x-axis.
Can a vector directed along y-axis have an x component?
No, a vector directed along the y-axis does not have an x component. A vector along the y-axis only has a component in the y direction.
Can scalar be a negative number?
Yes, a scalar can be a negative number. For instance: c<x₁,x₂> = <cx₁,cx₂> such that <x₁,x₂> is a vector. Let c = -1 for instance. Then, we have this vector: <-x₁,-x₂> Compared to <x₁,x₂>, <-x₁,-x₂> has negative signs. In physics and mathematics, if we multiply the vector or something by a negative value scalar, then the direction of the vector is reversed, and the magnitude stays the same. If the magnitude increases/decreases, and the direction of the vector is reversed, then we can multiply the vector by any negative non-1 scalar value.
How to calculate the direction of a vector?
To calculate the direction of a vector, you can use trigonometry. Find the angle the vector makes with the positive x-axis using the arctangent function. This angle represents the direction of the vector in relation to the x-axis.
How to determine the direction of a vector?
To determine the direction of a vector, you can use trigonometry. Find the angle the vector makes with the positive x-axis using the arctangent function. This angle represents the direction of the vector in relation to the x-axis.
Is torque independent of location of axis?
No, the axis must be specified: torque = (distance from the axis) X (force). (X is the vector cross-product in this case - meaning the angle also matters.)No, the axis must be specified: torque = (distance from the axis) X (force). (X is the vector cross-product in this case - meaning the angle also matters.)No, the axis must be specified: torque = (distance from the axis) X (force). (X is the vector cross-product in this case - meaning the angle also matters.)No, the axis must be specified: torque = (distance from the axis) X (force). (X is the vector cross-product in this case - meaning the angle also matters.)
Is the Cartesian coordinates a scalar or a vector or neither?
A vector is a magnitude with a direction, so if you have a line that is +2 on the x-axis and +2 on the y-axis, that would be a vector.
