<span>We are given that ||e|| = 1, ||f|| = 1. </span>
<span>Since ||e + f|| = sqrt(3/2), we have </span>
<span>3/2 = (e + f) dot (e + f) </span>
<span>= (e dot e) + 2(e dot f) + (f dot f) </span>
<span>= ||e||^2 + 2(e dot f) + ||f||^2 </span>
<span>= 1^2 + 2(e dot f) + 1^2 </span>
<span>= 2 + 2(e dot f). </span>
<span>So e dot f = -1/4. </span>
<span>Therefore, </span>
<span>||2e - 3f||^2 = (2e - 3f) dot (2e - 3f) </span>
<span>= 4(e dot e) - 12(e dot f) + 9(f dot f) </span>
<span>= 4||e||^2 - 12(e dot f) + 9||f||^2 </span>
<span>= 4(1)^2 - 12(-1/4) + 9(1)^2 </span>
<span>= 4 + 3 + 9 </span>
<span>= 16. </span>
Answer:
B. D (-4, 3)
Step-by-step explanation:
In quadrant II x value is -ve and y value is positive.
Hello this should be your graph here
Complete question
To find 
, Beau found 
and 
. He said that since 5 is between 4 and 9, , is between 2 and 3. Beau thinks a good estimate for , is 
Is his estimate high or low? How do you know?
Answer:
The estimation is high because 5 is very close to 4 so will also be very close to 
which is lower than the estimate
In order to get a good estimate
The first step is to choose a number between 2 and 3 let say 2.8 , 2,85 , 2.9 and the square them
i.e
From here we can see that lies between 2.2 and 2.3 but is closer to 2.2
So a good estimate for is 2.2
Step-by-step explanation:
