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ioda
3 years ago
10

Find the surface area of the pyramid *the side lengths are equal*❤️

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0
I think you times them
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Find II 2e-3f II^2 assuming that e &amp; f are unit vectors such that II e +f II=sqrt(3/2).
sergey [27]

<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>
6 0
3 years ago
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