4 A Let Aj On Er Be Such That Ai An 1 Show That As A 2 Hint You May Want To Introduce V A1 1 (6.47 KiB) Viewed 27 times
4 A Let Aj On Er Be Such That Ai An 1 Show That As A 2 Hint You May Want To Introduce V A1 2 (16.85 KiB) Viewed 27 times
4. (a) Let aj...., On ER be such that ai +...+ an = 1. Show that aſ+...+a+2 Hint: You may want to introduce v = (a1 ++*.and = [1...,1]. 12
(b) Let A = (1,0,1), B = (2, 1,0) and C = (2,2,1) be points in R. We consider the triangle ABC, and call a the angle at A and B the angle at B. Give cosa and cos 3. (c) Let A,B,C,D be a parallelogram with equal sides (AB = BC = CD = DA). Show that the diagonals AC and BD are orthogonal. B А D Hint: AC = AB + BC and BD=BC+CD. +
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!