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6. Let O be the origin and A, B, C be points in R³ such that OÀ=i+j+k - OB=31+3 OC=-1+j+k Suppose P is the plane passing through O, A, B. (a) Find a non-zero vector which is perpendicular to the plane P. (h) Find the proiectis

6. Let O be the origin and A, B, C be points in R³ such that OÀ=i+j+k - OB=31+3 OC=-1+j+k Suppose P is the plane passing through O, A, B. (a) Find a non-zero vector which is perpendicular to the plane P. (h) Find the proiectis

Advanced Engineering Mathematics
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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6. Let O be the origin and A, B, C be points in R³ such that OÀ=i+j+k_OB=31+3 OČ=-1+j+k Suppose P is the plane passing through O, A, B. (a) Find a non-zero vector which is perpendicular to the plane P. (b) Find the projection of the vector OC on n. (c)* Let D be the point on P which is closest to C. By using the result of (b), find the vector OD.
Transcribed Image Text:6. Let O be the origin and A, B, C be points in R³ such that OÀ=i+j+k_OB=31+3 OČ=-1+j+k Suppose P is the plane passing through O, A, B. (a) Find a non-zero vector which is perpendicular to the plane P. (b) Find the projection of the vector OC on n. (c)* Let D be the point on P which is closest to C. By using the result of (b), find the vector OD.
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