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nikdorinn [45]
2 years ago
14

If a = i - j , b = i+j+k and c be a vector such that a x c + b = o and a.c= 4, then IcI2 is equal to​

Mathematics
2 answers:
scZoUnD [109]2 years ago
6 0
It is correct because it is
docker41 [41]2 years ago
4 0

Answer: IcI^2 = 9.5

Step-by-step explanation:

The data is:

a = (1, -1, 0)

b = (1, 1, 1)

axc = -b

then if c = (A, B, C) we have that:

axc = (-C, -C, A + B)

then we have the equality

-C = 1

A + B = 1

we also have that:

a.c = 1*A + (-1)*B + 0 *C = 4

A - B = 4

then we have two equations for A and B

A + B = 1

A - B = 4

we isolate A in the second equation and get:

A = 1 - B

now we replace it in the second equation

(1 - B) - B = 4

1 - 2B = 4

B =(4 -1)/(-2) = -3/2

then:

A + (-3/2) = 1

A = 1 + 3/2 = 2/2 + 3/2 = 5/2

we have that c = (5/2, -3/2, -1)

then IcI^2 = (5/2)^2 + (-3/2)^2 + (-1)^2 = 9.5

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Step-by-step explanation:

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3 years ago
Can someone help me with this?
creativ13 [48]

The missing values are 28° and 62°

<h3>What are perpendicular lines?</h3>

Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.

From the information given, we have that;

Line AC ⊥ Line BE

Where:

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Hence,

x + 5 + 3x - 7 = 90

collect like terms

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Make 'x' the subject

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1 year ago
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.
tresset_1 [31]

Answer:

-3/4

Step-by-step explanation:

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now multiply -5/2 by two so the denominators are the same

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Answer:

y = 49 - x

Step-by-step explanation:

Let the other number be y.

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Answer:

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Step-by-step explanation:

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