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>
Answer:
$7.15
Step-by-step explanation:
The best way to solve this is by crossing out the data you don't need so you're left looking at the key pieces to put the equation together. If his dad paid him $45.76 for 6.4 hours, then all you need to do is divide 45.76 by 6.4. (Hint: Use a calculator, it makes it ten times faster than trying to write it out!)
45.76 ÷ 6.4 = 7.15
So Greg made $7.15 an hour working with his dad.
<span>Uphill distance = 1 4/5 = 9/5 = 18/10 km
Downhill Distance = 2 7/10 = 27/10 km
Total Uphill and Downhill = 18/10 + 27/10 = 45/10 = 4.5 km
Hence total level ground = Total race km - (Uphill + Downhill)
=10 - 4.5 = 5.5 km
Hence the answer is 5.5 km.</span>
<span>written in standard form
</span><span>
7.12 x 10^-3 = 0.00712
hope it helps</span>
