Answer:
Step-by-step explanation:
Suppose x and y are nonzero vectors in an inner product space.
Let us assume that x and y are orthogonal
i.e. innter product is 0.
This implies dot product of x and y is 0
Then x.y =0
i.e.
Proved
Converse part:
Let
Square also would be equal
Hence inner product of x and y is 0
Answer:
<u>19.17 feet</u> of lace will be leftover.
Step-by-step explanation:
Given:
Kaitlyn is making a quilt she purchased a 46 feet long piece of lace to sew around the edges of the quilt she needs 322 inches of lace for the quilt.
Now, to find the feet of lace will be leftover.
<u><em>Total feet of lace =</em></u> <u>46</u>.
Kaitlyn needs lace for the quilt = 322 inches.
So, by using conversion factor we change inches into feet:
12 inches = 1 foot.
322 inches =
<u><em>Feet of lace she need for the quilt =</em></u> <u>26.83</u>.
Now, to get the feet of leftover lace:
<u><em>Total feet of lace - feet of lace she need for the quilt</em></u>
Therefore, 19.17 feet of lace will be leftover.