We are given points A(0, 2, 3) and B(2, 7, 5). (a) Find the equation (in vector form) of the line & that contains points A and B. (b) For which values x, z E R the point P(x, 4, z) lies on l. (c) Find the intersection of the line & and the plane II that is given by -2x + 3y - z = 6. (d) Compute the area of the parallelogram, determined by vectors 0Å and 0B.
We are given points A(0, 2, 3) and B(2, 7, 5). (a) Find the equation (in vector form) of the line & that contains points A and B. (b) For which values x, z E R the point P(x, 4, z) lies on l. (c) Find the intersection of the line & and the plane II that is given by -2x + 3y - z = 6. (d) Compute the area of the parallelogram, determined by vectors 0Å and 0B.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
We are given points A(0, 2, 3) and B(2, 7, 5).
-
(a) Find the equation (in vector form) of the line l that contains points A and B.
-
(b) For which values x,z ∈ R the point P(x,4,z) lies on l.
-
(c) Find the intersection of the line l and the plane Π that is given by −2x+3y−z=6.
−→ −→
(d) Compute the area of the parallelogram, determined by
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