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3 years ago

How to find a point on a line in 3d given the distance from one of the points?

Mathematics

1 answer:

balu736 [363]3 years ago

7 0

Let a line in three dimensions be specified by two points and lying on it, so a vector along the line is given by

(1)The squared distance between a point on the line with parameter and a point is therefore(2)

To minimize the distance, set and solve for to obtain

(3)

where denotes the dot product. The minimum distance can then be found by plugging back into (2) to obtain

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Help me out please?<br>chapter : exponents and powers

belka [17]

Answer:

$\frac{125}{27}$

Step-by-step explanation:

$\frac{2^{-4} \times 15^{-3} \times 625}{5^2 \times 10^{-4}}$

Lets expand all the composite numbers into prime numbers.

$=> \frac{2^{-4} \times (3^{-3} \times 5^{-3}) \times 5^4}{5^2 \times (2^{-4} \times 5^{-4})}$

Lets cancel $2^{-4}$ from numerator and denominator.

$=> \frac{3^{-3} \times 5^{-3} \times 5^4}{5^2 \times 5^{-4}}$

Using laws of exponents , lets solve this.

$=> \frac{3^{-3} \times 5^{(-3 + 4)}}{5^{( 2 - 4)}}$

$=> \frac{3^{-3} \times 5^{1}}{5^{-2}}$

$=> 3^{-3} \times 5^{[1 - (-2)]}$

$=> 3^{-3} \times 5^{3}$

$=> \frac{5^3}{3^3} = \frac{125}{27}$

4 0

2 years ago

Read 2 more answers

The Ms Jodi has 950 non fiction books. 40% of those books are about science topics and 30% are about history. How many books are

Bad White [126]

Step-by-step explanation:

well first you need to divide all the percents by 100.

40% = .40

30%= .30

and now you need to multiply those two by 950.

.40/950=4.20

.30/950=3.15

so ms jodi has about 3 books on history

8 0

2 years ago

Pls help BRAINLYEST FOR BEST ANSWER YAYA

son4ous [18]

Answer:

A) 21

Step-by-step explanation:

Mean:

(23 + 18 + 24 + 15 + 25)/5

105/5

6 0

3 years ago

Read 2 more answers

Show Your Work<br> Please help I’ll mark brainliest

fgiga [73]

Answer:

(c)

Step-by-step explanation:

3+2+4 = 9, 4+2= 6- 3= 3

3 0

3 years ago

Pls help me with this answer choice question! brainliest, rattings, thanks etc.

galina1969 [7]

Answer:

graph B

Step-by-step explanation:

Given

3y - 5x < - 6

Since the inequality is < then the line must be broken

If ≤ then line would be solid

The only possible graphs are B and D

Choose a test point in the shaded region of each graph and check validity

graph B (2, 0) ← substitute into left side of inequality

0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid

graph D (0, 0 ) ← substitute into left side of inequality

0 - 0 = 0 > - 6 ← this is not valid

Hence graph B is the correct graph

3 0

3 years ago