Let Pi(0,0, 1), P2(1, 1,0) and P3(0, 1, 1) be three points in R®. Evaluate cos LP, P P3, where LP,P P3 denotes the angle between PP and PP. a) 1 (b) V3 (c) 3 (d) (e) 3 a bcd e 113

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 68E: Show that the three points (x1,y1)(x2,y2) and (x3,y3) in the a plane are collinear if and only if...
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Can u solve 3 and 4

3.
Let P (0,0, 1), P2(1,1,0) and P3(0, 1, 1) be three points in R3. Evaluate
cos LPP P3, where LP,P, P3 denotes the angle between P P, and PP.
(a) 1 (6) V3
(c)
(e)
(d) }
(e) 3
a
b
C d
e
4.
Find the matrix A if
? ךT
3
1
2AT
|
2 -1
1
1
(a) A =
1
(b) A =
(c) A =
2 4
2 -2
1 -1
2 -2
1
(d) A =
(e) None of these
%3D
-1
a bcde
Transcribed Image Text:3. Let P (0,0, 1), P2(1,1,0) and P3(0, 1, 1) be three points in R3. Evaluate cos LPP P3, where LP,P, P3 denotes the angle between P P, and PP. (a) 1 (6) V3 (c) (e) (d) } (e) 3 a b C d e 4. Find the matrix A if ? ךT 3 1 2AT | 2 -1 1 1 (a) A = 1 (b) A = (c) A = 2 4 2 -2 1 -1 2 -2 1 (d) A = (e) None of these %3D -1 a bcde
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