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yawa3891 [41]
3 years ago
14

Which of the following expressions are meaningful? Which are meaningless? Explain. (a) (a · b) · c (a · b) · c has because it is

the dot product of . (b) (a · b)c (a · b)c has because it is a scalar multiple of . (c) |a|(b · c) |a|(b · c) has because it is the product of . (d) a · (b + c) a · (b + c) has because it is the dot product of . (e) a · b + c a · b + c has because it is the sum of . (f) |a| · (b + c) |a| · (b + c) has because it is the dot product of .
Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

a. It is meaningless.

b. It has meaning.

c. It has meaning.

d. It has meaning.

e. It is meaningless.

f. It is meaningless.

Step-by-step explanation:

a. (a.b).c.

This is meaningless, a.b will give a scalar and we can't take the dot product of the scalar result with vector c.

b. (a.b)c

This has meaning, a.b will give a scalar, the the scalar will be multiply with the vector c.

c. |a|(b.c)

This has meaning, |a| means magnitude of vector a and it will a scalar and this is multiple by the scalar result of b.c

d. a.(b+c)

This has meaning, b+c will give another vector then, the scalar product of the result and vector c will be calculated and it will gives us a scalar answer.

e. a.b+ c

This is meaningless, the dot product of a.b will give a scalar result and the scalar result canont be added to c. We can't add a scalar to a vector.

f. |a|.(a+b)

This is meaningless, |a| means the magnitude of vector a and that is a scalar. The scalar product of a scalar and a vector cannot be calculated.

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Zigmanuir [339]
3.5x + 6.5y = 1800
Move 3.5x to another side.
6.5y = -3.5x +1800
Divide by 6.5.
y = -3.5/6.5x + 1800
If we round it would be:
Y = 0.5x + 1800
0.5x is the slope and 1800 is the y-intercept.
Hope that helps.
6 0
3 years ago
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NikAS [45]

Answer:

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Step-by-step explanation:

The answer is 12.6 and here is the explanation of using the Distributive Property. Because we are multiplying a whole number by a mixed number, we have to multiply the whole number by the whole number in the mixed number and then multiply the whole number by the fraction. In this case, we have 3 x 4 1/5. We multiply 3x4=12 first, and then we multiply 3x1/5 to get 0.6. 12+0.6=12.6. Hope it helps!

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3 years ago
The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st
MaRussiya [10]

Correct answer is: P(x<6) is 0.123 and it is usual.

Solution:-

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Typically we say an event with a probability less than 5% is unusual.

But here P(X<6) = 0.123 is greater than 5% hence this is usual.

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