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Can you add three unit vectors to get a unit vector does your answer change if two unit vectors are along the coordinate axes?
Yes., and their being along the coordinate axes does not change the answer.Consider the vectors: i, -i and j where i is the unit vector along the x axis and j along the y axis. The resultant of the three is j.
What is the definition of x coordinate?
In the system of Cartesian coordinates in geometry, the x-coordinate is the location in the horizontal direction (nominally left and right) while the y-coordinate is in the vertical direction (up and down). The line along which x values are measured is the x-axis. An x-coordinate to the left of center (zero) is negative, and to the right is positive. (In three dimensions, the x and y form a horizontal plane and the z coordinate is measured along the vertical axis.)
Another name for the first member in an ordered pair?
Another name for the first member in an ordered pair is the "first coordinate" or "x-coordinate." In the context of a Cartesian coordinate system, this value represents the position along the horizontal axis.
What is a projection of a vector along an axis of a coordinate system called?
The projection of a vector along an axis of a coordinate system is called a "component" of the vector. For a given vector, its component along a specific axis is determined by taking the dot product of the vector with a unit vector in the direction of that axis. This process effectively measures how much of the vector aligns with that axis. Each axis in the coordinate system has its own corresponding component of the vector.
What does the math term x-coordinate mean?
The horizontal value in a pair of coordinates: how far along the point is.
What are the projections of a vector along the axes of a coordinate system?
A tangent of the vector is the projection of a vector along the axes of a coordinate system.
What is an abscissa?
An abscissa is the coordinate representing the position of a point along a line perpendicular to the y-axis in a plane Cartesian coordinate system.
Can you add three unit vectors to get a unit vector does your answer change if two unit vectors are along the coordinate axes?
Yes., and their being along the coordinate axes does not change the answer.Consider the vectors: i, -i and j where i is the unit vector along the x axis and j along the y axis. The resultant of the three is j.
Is glide reflection equivalent to two reflections across two vertical lines?
No. Glide reflection is a combination of an ordinary reflection and a slide along the line of reflection. A two reflections across two vertical lines is a translation without any reflection or rotation.
Which coordinate in the horizon coordinate system is similar to longitude in the geographic coordinate system?
In the horizon coordinate system, azimuth is similar to longitude in the geographic coordinate system. Azimuth represents the direction of an object in degrees along the horizon, similar to how longitude represents the east-west position on Earth's surface.
What is the definition of x coordinate?
In the system of Cartesian coordinates in geometry, the x-coordinate is the location in the horizontal direction (nominally left and right) while the y-coordinate is in the vertical direction (up and down). The line along which x values are measured is the x-axis. An x-coordinate to the left of center (zero) is negative, and to the right is positive. (In three dimensions, the x and y form a horizontal plane and the z coordinate is measured along the vertical axis.)
What are glide reflection and rotational transformations?
A glide reflection is a combination of a reflection in a line and a translation along that line. This can be done in either order. A rotational transformation is a rotation around a fixed point or axis.
How will a ray directed towards the centre of curvature of a convex mirror be reflected?
A ray directed towards the centre of curvature of a convex mirror will reflect back on itself along the same path. This is because the centre of curvature is located on the normal line, so the angle of incidence and the angle of reflection will be equal due to the principle of reflection.
Which churches along the Way of the Cross route are significant for pilgrimage and reflection"?
The churches along the Way of the Cross route that are significant for pilgrimage and reflection include the Church of the Holy Sepulchre, the Church of the Flagellation, and the Church of the Condemnation and Imposition of the Cross.
What does the math term x-coordinate mean?
The horizontal value in a pair of coordinates: how far along the point is.
What coordinate is used to locate points on grids?
Not a coordinate but a pair (or larger set) of coordinates.These are ordered sets of numbers that give the distance of the point, from the origin, along each of the axes in multidimensional space.
What latitude coordinate is closest to the equator?
The equator is the 'zero' of latitude, so the smaller the latitude number is, the closer it is to the equator. There's no such thing as the 'closest' or smallest. You can name any latitude you want to, and no matter how small it is, I can always name a smaller one.
