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marishachu [46]
3 years ago
5

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu. u = <-8, -8

> and v = <-1,2>
a.) <-0.5, 1> + <-7.5, -9>
b.) <-1, 2> + <-7, -10>
c.) <-1, 2> + <-2, -1>
d.) <1.6, -3.2> + <-9.6, -4.8>
Mathematics
2 answers:
aalyn [17]3 years ago
3 0

Answer:

c.) <-1, 2> + <-2, -1>

Step-by-step explanation:

hope i helped

yaroslaw [1]3 years ago
3 0
It’s c hope it’s correct
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Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
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Base case: if <em>n</em> = 1, then

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which is even.

Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.

Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have

(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1

… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>

… = 2<em>m</em> + 2<em>k</em>

… = 2 (<em>m</em> + <em>k</em>)

which is clearly even. QED

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3 years ago
What is the exponential notation of 100
Andreyy89
The answer is 1x10^2 or just simply 10^2.
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Step-by-step explanation:

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Answer:

Option C is correct

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Step-by-step explanation:

Area of square(A) is given by:

A =s^2

where, s is the side of the square.

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then;

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Perimeter(P) of square is given by:

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then;

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VLD [36.1K]

Answer:

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Step-by-step explanation:

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