The magnitude of the vector from the origin is 10
The unit vector in of the vector from the origin as (8/10, -6/10
<u>Step-by-step explanation:</u>
<u>1.Finding the magnitude,</u>
we have the formula,
magnitude=√a²+b²
we have the values as a=8 and b=-6
Finding the magnitude we get,
magnitude=√a²+b²
magnitude=√8²+6²
magnitude=√100
magnitude=10
The magnitude of the vector from the origin is 10
<u>2.Finding the unit vector</u>
Divide by the magnitude
Unit vector: (8/10, -6/10)
The unit vector in of the vector from the origin as (8/10, -6/10
3^7 when you are multiplying numbers with the same base add the exponents.
Its just a matter of subbing...but keep in mind, for it to be a solution, it has to satisfy all 3 inequalities
x - y > = -4
2x - y < = 5
2y + x > 1
solutions are : (-1,3) and (3,5)