1. Questions

Algebra

Let L be the line passing through the point P=(1, −1, −5) with direction vector →d=[−2, −4, 3]T, and let T be the plane defined by −x+y−3z = −1. Find the point Q where L and T intersect.

  1. 👍 0
  2. 👎 0
  3. 👁 470
shana

  1. parametric equations of the line L
    x = 1 - 2t
    y = -1 - 4t
    z = -5+ 3t

    plug those values into
    -x + y - 3z = -1 and solve for t

    once you have t, sub it back into the parametric equations to get the (x,y,z)

    1. 👍 1
    2. 👎 0
    Reiny

  2. Thank you so much

    1. 👍 0
    2. 👎 0
    shana

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physcis(Please help)

    A pilot flies her route in two straight-line segments. The displacement vector A for the first segment has a magnitude of 254 km and a direction 30.0o north of east. The displacement vector for the second segment has a magnitude

  2. Maths Vector Helpppp

    The points A and B have position vectors, relative to the origin O, given by −−→OA = i+2j+3k and −−→OB = 2i+j+3k. The line l has vector equation r = (1−2t)i+ (5+t)j+ (2−t)k. (i) Show that l does not intersect the

  3. math

    Previously you found that a 15-degree counterclockwise rotation centered at(2,1)sends the point(4,6)to another point (x, y) ≈ (2.638, 6.347). The diagram on the right shows the vector v in the same direction as vector [2,5],

  4. Geometry

    If vector v has an initial point at (2, 3) and a terminal point at (6, 6) and vector w has an initial point at (3, 2) and a terminal point at (6, 6), are the two vectors equivalent? A) Yes, they have the same magnitude and same

  1. Physics

    4. Which of the following is an accurate statement about vectors? A. Rotating a vector about an axis passing through the tip of the vector does not change the vector(definitely not right) B. The magnitude of a vector can be zero

  2. physics

    Displacement vectors A, B, and C add up to a total of zero. Vector A has a magnitude of 1550 m and a direction of 22.9° north of east. Vector B has a direction of 41.0° east of south, and vector C has a direction of 35.2° north

  3. Algebra

    Write a​ slope-intercept equation for a line passing through the point (4,−2) that is parallel to the line 4x+7y=8. Then write a second equation for a line passing through the point (4,−2) that is perpendicular to the line

  4. Calculus and vectors

    Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is

  1. physics

    A pilot flies her route in two straight-line segments. The displacement vector A for the first segment has a magnitude of 246 km and a direction 30.0o north of east. The displacement vector B for the second segment has a magnitude

  2. math

    Let L1 be the line passing through the points Q1=(4, −1, −2) and Q2=(1, 0, −1) and let L2 be the line passing through the point P1=(−6, 21, −8) with direction vector →d=[−3, 9, −3]T. Determine whether L1 and L2

  3. linear algebra

    Let L be the line passing through the point P=(−3, −1, −5) with direction vector →d=[4, 0, 4]T, and let T be the plane defined by 4x−y−3z = 16. Find the point Q where L and T intersect. please help..

  4. physics

    Displacement vectors A,B,and C add up to a total of zero. Vector A has a magnitude of 1550 m and a direction of 24.1° north of east. Vector B has a direction of 41.0° east of south, and vector C has a direction of 33.4° north

You can view more similar questions or ask a new question.