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:
D. 48
Step-by-step explanation:
We don't know the numbers of coupons sent to existing members and to potential members, but we know a relationship between the number.
They sent 5 times as many coupons to potential members as they did to existing members.
Let x = number of coupons sent to existing members.
Then 5x = number of coupons sent to potential members.
The total number of coupons sent was x + 5x = 6x
The total number of coupons sent was 288.
Therefore, 6x must equal 288 giving us an equation with a single variable.
6x = 288
x = 48
Answer: 48
The area of the trapezoid is 4.5cm
Answer:
1. 50 degrees.
2. 90 degrees
3. 50 degrees
Step-by-step explanation:
hope this helps!
