For what value of m, the vector 4i + 2j – 3k and mi - j+ 3k have same magnitude? Given the points A = (1, 2, – 1), B =(-3, 1, 2) and C = (0, -4, 3) (i) find AB, BC, AC Q.3 Q.4 (ii) Show that AB + BC = AC %3D Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C = (3, 6, -3) and show that the triangle is right angled. Q.5 %3D

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.5: Vectors: A Geometric Approach
Problem 57PS
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For what value of m, the vector 4i + 2j – 3k and mi – j+ V3 k
have same magnitude?
Given the points A = (1, 2, – 1), B = (-3, 1, 2) and C = (0, –4, 3)
(i) find AB, BC, AC
Q.3
Q.4
(ii) Show that AB + BC = AC
Find the lengths of the sides of a triangle, whose vertices are
A = (2, 4, -1), B = (4, 5, 1), C = (3, 6, -3) and show that the
triangle is right angled.
Q.5
%3D
Transcribed Image Text:For what value of m, the vector 4i + 2j – 3k and mi – j+ V3 k have same magnitude? Given the points A = (1, 2, – 1), B = (-3, 1, 2) and C = (0, –4, 3) (i) find AB, BC, AC Q.3 Q.4 (ii) Show that AB + BC = AC Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C = (3, 6, -3) and show that the triangle is right angled. Q.5 %3D
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