In the space referred to direct orthonormal system (0; i, j,k), given the points A (7; 1; 3), B (1; -2; 3) and C (7; 4 ; 6). 1. a) Find the vector AB ^ AC.Deduce the area of triangle ABC. b) Calculate BC. c) Prove that the distance from A to the straight line (BC) is equal 3. 2. Calculate the real K such that:V = AB+ K.AC is orthogonal to the vector AC. 3. Letu be a vector such that: = E and u.BC = 12. Prove that: in BC|= 3/2. %3D

In the space referred to direct orthonormal system (0; i, j,k), given the points A (7; 1; 3), B (1; -2; 3) and C (7; 4 ; 6). 1. a) Find the vector AB ^ AC.Deduce the area of triangle ABC. b) Calculate BC. c) Prove that the distance from A to the straight line (BC) is equal 3. 2. Calculate the real K such that:V = AB+ K.AC is orthogonal to the vector AC. 3. Letu be a vector such that: = E and u.BC = 12. Prove that: in BC|= 3/2. %3D

Name: Exercise 9In the space referred to direct orthonormal system (0; i, j
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Exercise 9In the space referred to direct orthonormal system (0; i, j,k),given the points A (7; 1; 3), B (1; -2; 3) and C (7; 4 ; 6).1. a) Find the vector AB A AC.Deduce the area of triangle ABC.b) Calculate BC.c) Prove that the distance from A to t

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.2: Norms And Distance Functions

Problem 16EQ

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