The tail of a vector is at (2, 4). The head of the same vector is at (5, 2). What is the algebraic description of this vector? [Sketch the problem if you need help visualizing it.]

Step-by-step explanation:

Given that:

The vector is the straight line, so to form the algebraic description of this vector we need to find out the slope of it:

Slope: = =

We have the standard form of the linear is:

y = mx +b

In this situation, y = x + b (1)

Because the line go through the point: (2, 4) so we substitute them into the equation (1):  4 = (2) + b <=> b =

So  the algebraic description of this vector is:  y = x +  

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: