Line

Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?

Result




Solution:

x=10+3t y=6+2t  t1=7+103=5.66666666667 t2=3062=12  t1t2x = -10 +3t \ \\ y = 6 +2t \ \\ \ \\ t_1 = \dfrac{ 7 +10 } { 3} = 5.66666666667 \ \\ t_2 = \dfrac{ 30 -6 } { 2} = 12 \ \\ \ \\ t_1 \ne t_2



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator.

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  1. Line
    lines_1 Write an equation of a line parallel to To 9x + 3y = 8 That Passes Through The Point (-1, -4). Write in form ax+by=c.
  2. Points collinear
    collinear Show that the point A(-1,3), B(3,2), C(11,0) are col-linear.
  3. Perpendicular
    perpendicular Determine the slope of the line perpendicular to the line p: y = -x +4.
  4. Line
    skew_lines It is true that the lines that do not intersect are parallel?
  5. Parametric equation
    line Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
  6. College 2
    fuel College student is moving into a dormitory. The student rent a truck for $19.95 plus $0.99 per mile. Before returning the truck the student fills the tank with gasoline, which cost $65.32. Total cost $144.67. Using a linear equation, explain the process t
  7. Three unknowns
    matrix_1 Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
  8. Vector - basic operations
    vectors_1 There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate difference of vectors u-v d. Determine the coordinates of the vector w
  9. Coordinates of vector
    vectors_2 Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
  10. Vector
    vectors Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
  11. Vectors
    green For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10)
  12. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  13. Three workshops
    workers_24 There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
  14. Teams
    football_team How many ways can divide 16 players into two teams of 8 member?
  15. Sequence
    seq_1 Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
  16. Sequence
    a_sequence Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
  17. Legs
    rak Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?