(b) Let P2 be the plane in R³ which contains the line in R³ with vector equation X1 = 5 and the point (3, 2, 5). (This point is not on the line.) (1) A vector equation of P2 is 6 2 X = +s 4 +1 6 (Use two points on the plane to find one of the direction vectors.) (ii) An equation in general form for P, is x+ To find this equation, you need a vector n = [a, b, c] which is orthogonal to the two direction vectors that you obtained in part (i).
(b) Let P2 be the plane in R³ which contains the line in R³ with vector equation X1 = 5 and the point (3, 2, 5). (This point is not on the line.) (1) A vector equation of P2 is 6 2 X = +s 4 +1 6 (Use two points on the plane to find one of the direction vectors.) (ii) An equation in general form for P, is x+ To find this equation, you need a vector n = [a, b, c] which is orthogonal to the two direction vectors that you obtained in part (i).
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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