<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>
Hey there,
Each cake recipe would call for
cup of oil.
So if she is going to make 12 cakes, this would include that she
would need to use 12 cups of oil.
would be your answer!
Hope this helps.
~Jurgen
I believe the answer is A. 40.
Answer:
A 6 cm²
Step-by-step explanation:
The formula for the Surface Area of a Rectangle Prism and Square Prism [Cube] is below:
S.A = 2hw + 2bw + 2hb
Since 1 is the length of all edges, and also because all edges are congruent on a cube, you plug in 1 for the <em>height</em>, <em>width</em><em>,</em><em> </em>and<em> </em><em>base</em>:
6 = 2[1][1] + 2[1][1] + 2[1][1]
2 2 2
Or, you can just simply plug in 1 into the formula the exercise gave you and be done with it.
I am joyous to assist you anytime.
Answer:
Step-by-step explanation:
