8 Consider the following three points: A(1, 2, -3), B(3, 5, -2) and C(m, 1,-10m). Determine m so that a) A, B and Care collinear → b) AB and ĀC are perpendicular.

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A: I am attaching image so that you understand each and every step.

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Q: are the following points collinear? show your calculation A( 0,10) B(3,4) C(-5,20)

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Q: Are these points collinear? а) А(-2, 5), В(0, 2), and C(4, — 4) b) D(-1, — 1), Е(2, — 2), and F(5,…

A: (a)       A-2,5, B0,2, C4,-4      AB=-2-02+5-32      =4+4      =22BC=0-42+2--42      =16+36…