Finding an Equation of a PlaneIn Exercises 45–56, find an equation of the plane with the given characteristics. The plane contains the lines given by x − 1 − 2 = y − 4 = z and x − 2 − 3 = y − 1 4 = z − 2 − 1 .
Finding an Equation of a PlaneIn Exercises 45–56, find an equation of the plane with the given characteristics. The plane contains the lines given by x − 1 − 2 = y − 4 = z and x − 2 − 3 = y − 1 4 = z − 2 − 1 .
Solution Summary: The author calculates the plane's equation by determining the point through which it is passing and the normal vector to it. The plane contains the lines x-1-2=y-4=z and
Calculus 3: Find an equation of the plane containing the point P (1, -7,1) and the line r (t ) = <3 − 2t, 4t, 7> .
Determine the equation of the plane containing the point and the line.
(-7, 10, -3), г() 3 (1 — 41,61 — 4,1 — 4)
(Express numbers in exact form. Use symbolic notation and fractions where needed. Write the equation of the plane in scalar
form in terms of x, y, and z.)
equation:
Identify which points lie on the line r.
O (1, 14, – 1)
O (5, –10, –5)
(5, 11, –2)
O (-7,8, –2)
O (9, –16, –7)
Exercise 1
The parametric equation of the line through the points (2,-4,1) and (0,4,-10) is:
A. x = 2- 2t; y = -4 + 8t; z = 1 – 11t;
B. x = 2- 3t; y = -4 + 2t; z = 1 – 10t;
C. x = 1- 2t; y = -4 + 8t; z = 5– 5t;
D. None of the above
%3D
-∞
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HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY