Linear Algebra!

Write in parametric form the equation of the line that is perpendicular to r=(2i + 4j) + (i - 2j)t and goes through (1,0)

  1. 👍 0
  2. 👎 0
  3. 👁 186
asked by Liz
  1. 1 i - 2 j slope = -2
    our slope = -1/-2 = 1/2
    vector direction = 2 i + 1 j
    so
    r = (1i +0j) + (2 i + j) t

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. I could also say the dot product of vector 1 and vector 2 is 0 if they are perpendicular

    V1 = 1 i - 2 j
    V2 = a i + b j

    V1 dot V2 = a -2 b = 0
    so no matter what t is, a = 2 b
    V2 = 2 i + 1 j or 4 i + 2 j
    or in general
    V2 = (2 i + 1 j) t

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Maths

    A line has Cartesian equations given by x-1/3=y+2/4=z-4/5 a) Give the coordinates of the point on the line b) Give the vector parallel to the line c) Write down the equation of the line in parametric form d) Determine the

    asked by Ivory on April 23, 2019
  2. Math

    Write your answer in standard form. Show all your work if you want to be eligible for partial credit. Write the equation of a line perpendicular to the line y = (2/3)x - 7 and passing through the point (4,-2). The slope of the

    asked by Lina on November 7, 2006
  3. geometry

    I would love for someone to check my work on the seven problems that I did. I would be eternally grateful. I am going to list my problems and answers. Even if you only want to check one of them, that would be great. 1. Write an

    asked by Savannah on August 2, 2015
  4. math,correction,&help

    Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y = 6 Equation of perpendicular line is of the form 3x + 2y = K…It passes

    asked by jasmine20 on January 16, 2007
  5. Math

    Write an equation in the indicated form for each statement described below. (A graph shows two lines intersecting at x=-2 and y= 1 in a tilted X shape) A. Write an equation in slope-intercept form for the line parallel to the red

    asked by Mark on February 25, 2017
  6. Geometry

    How do I write an equation of a line perpendicular to the graph of -2y + x =-5 that passes through the point at (1,2) Given the line -2y + x =-5, solve for y so the equation is in this form: y = mx + b Once you know the slope, m,

    asked by Mishka on October 31, 2006
  7. math2

    I was solving a problem. In It r have been given that two lines are perpendicular to each other The equation of one line 2x-3y+4=0 Now i have to find the equation of another line We can find it by finding the slope of the

    asked by A GOODSTUDENT on September 14, 2016
  8. Writing this equation

    how do I write the equation of a line perpendicular to the line 6x – 3y=10 and containing the point (-6, 2). The line you are given can have its equation rewritten im y = mx + b as: y = 2x - 10/3 That tells you that is slope is

    asked by Katty on July 24, 2007
  9. Math

    Write a linear equation in slope intercept form for each of the following: A line perpendicular to y=x+2 that passes through the origin. A line perpendicular to y = -1/2x + 5 that passes through the points (4,1) and (1,-5). A line

    asked by Mikil on September 23, 2015
  10. Math

    Write the equation of the line in standard form: (-3, 6); m = 1/2 (1, 0) & (-5, 3) Write the equation of the line perpendicular to 4x – 5y = -10 through the point(2, 3). Write the equation in slope intercept form.

    asked by Katie on January 8, 2014

More Similar Questions