4. Consider the point M 2t,31 – 1,-t+ Determine t for that M belongs to the mediator plane of [AD].

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 41E: Use the inner product u,v=2u1v1+u2v2 in R2 and Gram-Schmidt orthonormalization process to transform...
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Exercise 6
In the space referred to a direct orthonormal system (O; i, j, k), given the points:
A (-1, 4, 2), B (1, 1, 0), C (-3, 5, -3/2) and D (23/2, 15, 10).
Transcribed Image Text:Exercise 6 In the space referred to a direct orthonormal system (O; i, j, k), given the points: A (-1, 4, 2), B (1, 1, 0), C (-3, 5, -3/2) and D (23/2, 15, 10).
(2,3×–1-++
Determine t for that M belongs to the mediator plane of
4. Consider the point M 2t,3t – 1,-t+
[AD].
5. Let E (2, 2, 0) is a point. Prove that ABEC is a Rhombus.
6. Designate by F the midpoint of [AB] and N (x, y, z) is a variable point in the space.
Determine a relation between x, y and z such that the triangle ABN is right at B.
Transcribed Image Text:(2,3×–1-++ Determine t for that M belongs to the mediator plane of 4. Consider the point M 2t,3t – 1,-t+ [AD]. 5. Let E (2, 2, 0) is a point. Prove that ABEC is a Rhombus. 6. Designate by F the midpoint of [AB] and N (x, y, z) is a variable point in the space. Determine a relation between x, y and z such that the triangle ABN is right at B.
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