Step-by-step explanation:
Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

It is a quadratic equation. The values of x are :

The smaller number is 4/5 and the larger number is 5/4.
The answer is x= -21
3x-3=6(x-10)
First we look for the angle of the vector, which will be given by:
tan (x) = (- 2/3)
Clearing x we have:
x = ATAN (-2/3) = - 33.69 degrees.
Which means that the angle is 33.69 degrees measured clockwise from the x axis.
Equivalently the angle is
360-33.69 = 326.31 degrees
326.31 degrees measured counterclockwise from the x axis.
The vector is then:
v = 10 (cos (326.31) i + sin (326.31) j)
answer
v = 10 (cos (326.31) i + sin (326.31) j)