(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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(b) Let P, be the plane in R which contains the line in R' with vector equation
6.
X1 =| 5 +
and the point (3, 2, 5). (This point is not on the line.)
(i) A vector equation of P, is
6
X =
5
+s
4
+t
6.
6
(Use two points on the plane to find one of the direction vectors.)
(ii) An equation in general form for P2 is
x+
y+
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).
Transcribed Image Text:(b) Let P, be the plane in R which contains the line in R' with vector equation 6. X1 =| 5 + and the point (3, 2, 5). (This point is not on the line.) (i) A vector equation of P, is 6 X = 5 +s 4 +t 6. 6 (Use two points on the plane to find one of the direction vectors.) (ii) An equation in general form for P2 is x+ y+ 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).
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