The anwser is 9
my handwriting is good but if you have any more questions plz lmk
To find W⊥, you can use the Gram-Schmidt process using the usual inner-product and the given 5 independent set of vectors.
<span>Define projection of v on u as </span>
<span>p(u,v)=u*(u.v)/(u.u) </span>
<span>we need to proceed and determine u1...u5 as: </span>
<span>u1=w1 </span>
<span>u2=w2-p(u1,w2) </span>
<span>u3=w3-p(u1,w3)-p(u2,w3) </span>
<span>u4=w4-p(u1,w4)-p(u2,w4)-p(u3,w4) </span>
<span>u5=w5-p(u4,w5)-p(u2,w5)-p(u3,w5)-p(u4,w5) </span>
<span>so that u1...u5 will be the new basis of an orthogonal set of inner space. </span>
<span>However, the given set of vectors is not independent, since </span>
<span>w1+w2=w3, </span>
<span>therefore an orthogonal basis cannot be found. </span>
To find the surface area, multiply length x width x height.
let "length" = l
l x 32 x 36 = 4344
Simplify
l x (32 x 36) = 4344
l x 1152 = 4344
Isolate the length. Divide 1152 from both sides
(l x 1152)/1152 = (4344)/1152
l = 4344/1152
l = 3.77 (rounded)
3.77 cm is your length.
hope this helps
