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Ganezh [65]
3 years ago
12

Question up there. ^ |​

Mathematics
1 answer:
wel3 years ago
8 0

Answer: (5,12) hope this helped

Step-by-step explanation: can i get brainliest

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Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

6 0
3 years ago
sam spent $4.38 on orange juice. orange juice costs &0.12 per ounce. how many ounces of orange juice did Sam buy?
Serjik [45]
I think the answer would be 36.5. I divided 4.38 by .12
6 0
3 years ago
150 minutes per day = hours per week
RideAnS [48]
150 minutes / day for a week
= (150 minutes / day) * (7 days / week)
= 150 * 7 minutes / week
= 1050 minutes / week

(1050 minutes / week) * (1 hour / 60 minutes)
= (1050 / 60) hours / week
= (105 / 6) hours / week
= 17.5 hours / week

You could also convert to hours first. 150 minutes = 2.5 hours * 7 days = 17.5 hours per week.
4 0
3 years ago
What is the answer for this
horsena [70]

Answer:

doesnt this count as plagirism

Step-by-step explanation:

5 0
2 years ago
Explain how you know that 88 is a solution to the equation 1/8x=11
zhuklara [117]
Rearrange the equation so that x = 11 divided by 1/8
Solve for x (11 divided by 1/8 = 88)
5 0
3 years ago
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