75. Determine the Cartesian equation for a line passing through the point P( 1,3) with normal vectorn = 76. Determine the Cartesian equation of the line with parametric equations x = 2t - 1, y = 4t+2, te R. 77. Determine the coordinates of a point on the line with symmetric equation = x +3 y-2 z+4 %3D 2 4 3 78. Determine the symmetric equation of the liu

75. Determine the Cartesian equation for a line passing through the point P( 1,3) with normal vectorn = 76. Determine the Cartesian equation of the line with parametric equations x = 2t - 1, y = 4t+2, te R. 77. Determine the coordinates of a point on the line with symmetric equation = x +3 y-2 z+4 %3D 2 4 3 78. Determine the symmetric equation of the liu

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 12E

See similar textbooks

Similar questions

Where does the line with the vector equation [x,y,z] = [6, 7, -8] + t[-2, 4, 1] intersect the xy-plane?
4. Find the equation of the plane containing the point (2, 7, −3) that is orthogonal to the line r(t) = 〈2−t, 4t, 5〉.Make sure to justify your choice of normal vector using either a picture or words.
Determine the general equation of the plane that passes through the point P (-1,1,0) and that has a normal vector n = (2,0, -4).
What are the components of vector p which has three times the magnitude of the normal vector of the plane 3x+5y-2z+6=0?
Determine a vector equation of the line passing through (6, 0, 3) and parallel to the line of intersection of planes 3? + y + z = 10 and 5? + 4y − 2z = 31
Find the linear equation of the plane through the point(1,2,3) and contains the line represented by the vector equation r(t)=⟨3t,6−2t,1−4t⟩. Equation:
Is the vector <-1,-2,5> parallel to the plane x+2y+z+4=0? Explain why?
Find an equation of the plane. The plane through the point (3, 2, 3) and with normal vector 9i + j − k
Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7, 6, 4) as a normal.
find a vector parametrization for the line with thegiven description. Passes through O and (4, 1, 1)
write the equation of the plane with normal vector n passing through the given point in the scalar form ax + by + cz = d. n = (−1, 2, 1), (4, 1, 5)
what is the vector equation of the line of intersection of the planes z=5 and x=9