Concept explainers
For the following exercises, find the
434. The line that passes through point
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Calculus Volume 3
Additional Math Textbook Solutions
Calculus Volume 1
Calculus Volume 2
Introductory Statistics
Thinking Mathematically (6th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Mathematics All Around (6th Edition)
- Give a vector parametric equation for the line through the point (3,4,−2) that is parallel to the line ⟨−4−5t,3+4t,−2−3t⟩arrow_forwardGive a vector parametric equation for the line through the point (4, 2) that is perpendicular to the line (1 – 3t, -4 – 5t): (Enter your answer as )arrow_forwardFind the linear equation of the plane through the point (6,−2,5) and with normal vector j+2k. Equation:arrow_forward
- Find the parametric equation for the line where the planes 2x - 2y + 8z = 24 and 10x − 3y + 6z = 18 - intersect. Use pointy brackets notation for vectors. r(t) = + tarrow_forwardFind parametric equations for the line through P(8, −7, 9) perpendicular to the vectorsA = ⟨3, −1, 2⟩ and B = ⟨4, −6, 5⟩.arrow_forwardFind parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8 intersect.arrow_forward
- Determine the angle that vector a = (12,-3, 4) makes with the y-axis.arrow_forwardUse the component form to generate an equation for the plane through P1(4, 1, 5) normal to n1 = i - 2j + k. Then generate another equation for the same plane using the point P2(3, -2, 0) and the normal vector n2 =-sqrt(2)i + 2sqrt(2)j - sqrt(2)k.arrow_forwardFind parametric equations for the line that passes through the point (−5, 5) and is parallel to the vector <6, −8>. (Enter your answer as a comma-separated list of equations where x and y are in terms of the parameter t.)arrow_forward
- Find parametric equations for the line that passes through the point (−5, 5) and is perpendicular to the vector <6,−8>. (Enter your answer as a comma-separated list of equations where x and y are in terms of the parameter t.)arrow_forwardFind parametric equations for the lines in The line through the origin parallel to the vector 2j + karrow_forwardFind parametric equations for the line through the origin parallel to the vector 3j + 9k. Let z = 9t. y = - oarrow_forwardarrow_back_iosarrow_forward_ios
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,