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chubhunter [2.5K]
3 years ago
14

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

<span>(4)(5)</span>
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Let measure angle A equal 40. If angle B complement of angle A, and angle C is a supplemlement of angle B find these measures
uranmaximum [27]
Two angles are complementary when they add up to 90 degrees<span> 
m</span>∠B = 90° - m∠A = 90° - 40° = 50°

Two angles are supplementary when they add up to 180 degrees 
m∠C = 180° - m∠B = 180° - 50° = 130°
8 0
3 years ago
The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
Lisa [10]

Step-by-step explanation:

For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,

b^2 - 4ac must be positive.

b^2 - 4ac > 0

(k - 3)^2 - 4(3 - 2k) > 0

k^2 - 6k + 9 - 12 + 8k > 0

k^2 + 2k - 3 > 0

4 0
2 years ago
10 = 3c − 2<br><br> c = what
creativ13 [48]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

10=3c-2  Equation/Question

Step 2

10=3c-2  Simplify

10=3c-2

Step 3

10=3c-2  Add +2

3c=12

Step 4

3c=12  Then you divide the exponents by 3

answer

c=4

Hope this helps

4 0
2 years ago
Worth 80 points how much wood would a wood chuck chuck if a wood chuck could chuck wood!?!? I need to know a legit number and ho
DanielleElmas [232]

Answer:

31 chucks

Step-by-step explanation:

7 0
3 years ago
Helpppppppppppppppppppppppppp
ddd [48]
Answer:
The last choice is the correct one

Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)

For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)

Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)

Hope this helps :)
5 0
3 years ago
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