Answer:
Angle between the two vectors is 135°
u•v = -12
Step-by-step explanation:
Given two vectors u = (4,0) and v = (-3,-3).
To find the angle between the two vectors we will use the formula for calculating the angle between two vectors as shown;
u•v = |u||v|cos theta
cos theta = u•v/|u||v|
theta = arccos (u•v/|u||v|)
u•v = (4,0)•(-3,-3)
u•v = 4(-3)+0(-3)
u•v = -12
For |u| and |v|
|u| = √4²+0²
|u| = √16 = 4
|v| = √(-3)²+(-3)²
|v| = √9+9
|v| = √18
|v| = 3√2
|u||v| = 4×3√2 = 12√2
theta = arccos(-12/12√2)
theta = arccos(- 1/√2)
theta = -45°
Since cos is negative in the second quadrant, theta = 180-45°
theta = 135°
To get u•v using the formula u•v = |u||v|cos theta
Given |u||v| = 12√2 and theta = 135°
u•v = 12√2cos 135°
u•v = 12√2× -1/√2
u•v = -12√2/√2
u•v = -12
For the diagram of the vectors, find it in the attachment below.
Answer:
View graph
Step-by-step explanation:
The closest by default to 1100 cubic inches is taking two side and two front covers and that would give you 1080.12 cubic inches since two of the covers you must subtract 3 cm per side and side which would add 6 cm in total so outside would be 35 cm and indoor 29 cm
. According the graph
29*50*3= 4350 * 2 lid = 8700 cm3
30*50*3= 4500*2 lid = 9000 cm3
So 8700+9000 = 17700 cm3 to inches 3 = 1080.12 cm3
Answer:
s cm+s cm+s cm+s cm
Step-by-step explanation:
Answer:
5 + 1.50x=15.50
1.50x=10.50
x=7
Step-by-step explanation:
Let x be the number of movies rented
solve for x
x=7
Let's write 2 equations from the two statements given.
<em>Sarah spent 10 dollars on both oranges and apples</em>
<em />
Let the price of oranges be "x" and price of apples be "y", thus we can write:
Oranges cost 3 less than apples, thus we can say:
We can substitute this into the first equation and solve for y:
Thus, let's solve for x now,
We want the price of oranges (x), thus,
<em>Price of Oranges = $3.50</em>
