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 the arrow representing the vector would point toward negative x.
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.
x=0
At what angle should a vector be directed to so that its x component is equal to its y component
The bit with the negative x-axis goes to the positive x-axis.
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.
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.
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.)
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.
If it is on the X-axis, the the value of x is zero so it is not negative.
The x component of V1 is -6.6 the y component of V1 is 0.