Answer:
The terminal point is Q(0,4)
Step-by-step explanation:
We are given the following in the question:
Initial point of vector, P(1,0)
The terminal point Q lies on the y-axis, thus Q have coordinates of the form:
The magnitude of the vector is
Magnitude is given by:
But since the terminal point is above the initial point, thus,
Thus, the terminal point is Q(0,4)
The area of the rectangle is units.
Step-by-step explanation:
Step 1:
The area of a rectangle is obtained by multiplying the length with the width of the rectangle.
Considering this a whole rectangle, the length of the rectangle is 5 units and the width is the sum of ,
, and -6.
So the length of the rectangle = 5 units and
the width of the rectangle units.
The area of a rectangle = (length)(width).
Step 2:
By substituting the known values, we get
The area of the rectangle
So the area of the rectangle is units.