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Annette [7]
3 years ago
5

Determine if the function defines an inner product on R3, where u = (u1, u2, u3) and v = (v1, v2, v3). (Select all that apply.)

u, v = 5u1v1 + 2u2v2 + u3v3
Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

u1v1 + u2v2 + u3v3

Step-by-step explanation:

Inner product is a method of multiplying vectors, with the outcome being a scalar. \

u = (u1, u2, u3) and v = (v1, v2, v3)

Inner product  = u.v = (u1, u2, u3). (v1, v2, v3)

= u1v1 + u2v2 + u3v3

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Two number cubes are rolled.
yaroslaw [1]

Answer:

1/4

Step-by-step explanation:

Assuming the number cube is a six-faced die, you have

1 <u>2</u> 3 <u>4</u> 5 <u>6</u>

three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. <em>That means you have a 50% chance to get an odd number, or an even number.</em>

<em />

So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?

  • You would have a 25% chance for an <u>even</u> and then an <u>even</u> number
  • You would have a 25% chance for an <u>odd</u> and then an <u>odd</u> number
  • You would have a 25% chance for an <u>even</u> and then an <u>odd</u> number
  • You would have a 25% chance for an <u>odd</u> and then an <u>even</u> number.

25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.

8 0
3 years ago
Read 2 more answers
Emma has 18 yellow flowers and 30 white flowers. She wants to split them into vases in equal groups. What is the largest number
likoan [24]

Answer:

Flowers, yellow flowers, white flowers, group, GCF

For this case we have 18 yellow flowers and 30 white flowers, we must find a number that represents the largest number of groups of flowers that can be formed, bearing in mind that each group must contain the same number of yellow and white flowers. To do this, we must find the GCF (Greatest Common Factor) of yellow flowers and white flowers.

We look for the factors of 18, that is, the numbers for which 18 is divisible, these are:

18, 9, 6, 3, 2 and 1

We look for the factors of 30, that is, the numbers for which 30 is divisible, these are:

30, 15, 10, 6, 5, 3, 2, 1

Thus, we can see that GCF of both numbers is 6.

Then we can form 6 groups of flowers. To know the amount of flowers of each color in each group, we divide:

Thus, 6 groups of flowers can be formed with 3 yellow flowers and 5 white flowers each.

Answer:

The largest number of groups that can be done is 6.

Read more on Brainly.com - brainly.com/question/950582#readmore

Step-by-step explanation:

4 0
3 years ago
Which graph represents y=3(x-3)^2+3
tensa zangetsu [6.8K]
Graph y = (–5/3)x – 2.
7 0
3 years ago
Pls help its a optional math question
Pepsi [2]

Answer:

70cm

Step-by-step explanation:

33=27/360*2*22/7*r

33*2520/1188=r

83160/1188=r

r=70cm

hope it's right

6 0
3 years ago
Please help. i not smart
____ [38]

Answer:

It is hard to see the numbers.

But I am pretty sure it is 6x+6.

Step-by-step explanation:

Hope this helps! :D

4 0
2 years ago
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