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

Yes

No

Solution:

$$\begin{gathered} x=-10+3t \\ y=6+2t \\ {t}_1={\displaystyle \frac{7+10}{3}}=5.66666666667 \\ {t}_2={\displaystyle \frac{30-6}{2}}=12 \\ {t}_1\mathrm{\ne }{t}_2 \end{gathered}$$

Try another example

Showing 0 comments:

Related math problems and questions:

• Vectors
  For vector w is true: w = 2u-5v. Determine coordinates of vector w if u=(3, -1), v=(12, -10)
• Calculate 6
  Calculate the distance of a point A[0, 2] from a line passing through points B[9, 5] and C[1, -1].
• Three points 4
  The line passed through three points - see table: x y -6 4 -4 3 -2 2 Write line equation in y=mx+b form
• Line
  Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers.
• General line equations
  In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the line is given by the slope form: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) t
• Three points
  Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?
• Linear function
  What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) A (-2,-6), B (3,4)
• On a line
  On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1].
• Three points 2
  The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D.
• 3d vector component
  The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3?
• Perpendicular projection
  Determine the distance of a point B[1, -3] from the perpendicular projection of a point A[3, -2] on a straight line 2 x + y + 1 = 0.
• Vector
  Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
• Vectors abs sum diff
  The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
• Vector perpendicular
  Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1)
• Points collinear
  Show that the point A(-1,3), B(3,2), C(11,0) are col-linear.
• V - slope
  The slope of the line whose equation is -3x -9 = 0 is
• Expressions
  Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a³ - b² - 2ab z=a² b³ - a³ b² w=a + b + a³ - b²