Answer:20
Step-by-step explanation:
<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:
So the greatest common factor 16 and 100 is 4.
Answer:
a. 100.48
b. 1,004.8
c. 1,105.28
Step-by-step explanation:
a. a cone with volume = ⅓×3.14×4²×6=
100.48
b. a cylinder with volume = 3.14×4²×20=
1,004.8
c. total volume = 100.48+1,004.8
= 1,105.28
It would be 725/1000 because u are 3 spaces after the decimal
