Find the parametric and symmetric equations for the line passing through the points P1=(2,2,3) and P2=(1,3,−1) . NOTE: this problem does not have a unique answer unless we specify how to choose the direction vector v (see pages 610 and 611). In order to obtain the required solution for this problem use the vector v=P1−P2 (see page 585). Further, you need to use the given point P1 in the formula. PARAMETRIC: x(t)= y(t)= z(t)= SYMMETRIC: (quotient involving x ) = (quotient involving y) = (quotient involving z ) =
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Answer:
parametric equation: q = (2-t)x + (2+t)y + (3-4t)z
symm equation:
Step-by-step explanation:
Parametric equation is just like the point slope equation:
y= b + mx
but in this case we have multiple variable so it'll be
q= p₀ + dt
p₀ will be any of your point. d will be the vector containing points shared by both your vector. It can be found by subtracting your two points together.
t is just an arbitrary variable.
Solve for d=p₂ - p₁ , you can also do d=p₁ - p₂
Now plug it into your q= p₀ + dt equation.
You can plug p₂ or p₁ in for p₀. I used p₁.
The result should give you the parametric equation.
Now solve for all of them in term of t. This step is just basic algebra.
since they're all t=..., then you can set them all equal to each other to get the symmetric equation.
Related Questions
What's the range of this function graph
P (-5, -6), Q (-1, 2), R (4, 4)Scale factor = 2P' =Q' =R' =
40% of the girls are fair and the reminder is brown. Half of the girl are beautiful and half are moderate. If 10% of the girls are fair and beautiful, and 40 girls are brown and moderate, how many girls are fair and moderate?
Carol drew an isosceles triangle that has an angle that measures 62°. Which could be the measures of the other two angles in Carol’s triangle?A. 62° and 62°B. 56° and 56°C. 28° and 90°D. 56° and 62°
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Step-by-step explanation:
a and b are corresponding angles
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so do 4-2 which is 2
2 x 9 is 18 x 10 is 180
45 - 8 is 37
180 divided by 37 is 4.9
4-2 =2
2 x 9= 18 x 10 =180
45 - 8 = 37
180 / 37 = 4.9
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2
Which had the greatest coefficient? *
16 - 2x
4 + 6x
10 - 9x
15x
Which had the smallest coefficient? *
16 - 2x
4 + 6x
10 - 9x
15x
The factors of the expression 5(c + d) are 5 and *
c
(c + d)
Option 3
c and d
Are the expressions (a + b)(c + d) and (c + d)(a + b) equivalent? *
yes, they have the same quantities and factors
no, they do not have the same quantities or factors
yes they have the same quantities only
not they do not have the same quantities or factors
Answers
- 2
- 6 + x -2y
- 15x
- 16 - 2x
- 5 and (c + d)
- Yes, same quantities and factors
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There are 95 cards did Steve initially purchase to begin his collection.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Steve began a baseball card collection by purchasing some cards.
And, He increased the number of cards in the collection by a constant amount each week after that.
Now, In 3 weeks he collect 285 cards.
Hence, Number of cards to collect in initially is,
⇒ 285/3
⇒ 95
Thus, There are 95 cards did Steve initially purchase to begin his collection.
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Answer:95
Step-by-step explanation:
95x3=285
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Answer: 105
Step-by-step explanation:
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Answer:
she can buy 5 movie tickets
Step-by-step explanation:
30/6=5