For v= -5i - 2j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vectors i and j.

Third option

Step-by-step explanation:

A unit vector is a vector that has magnitude 1.

To find a unit vector in the direction of the vector v we must first calculate the magnitude of v and then divide the vector v by its magnitude

The vector v is:

v = -5i - 2j

The magnitude of the vector is:

Now we divide the vector v by its magnitude

Simplifying we have to

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0