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Unformatted text preview: ................................................................................. ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... (Total 6 marks) 530 774. A triangle has its vertices at A(–1, 3, 2), B(3, 6, 1) and C(–4, 4, 3). (a) Show that AB • AC = –10. (b) ˆ Show that, to three significant figures, cos BAC = –0.591. ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... (Total 6 marks) 775. (a) Write down the inverse of the matrix 1 − 3 1 A = 2 2 − 1 1 − 5 3 (b) Hence, find the point of intersection of the three planes. x – 3y + z = 1 2x + 2y – z = 2 x – 5y + 3z = 3 531 (c) A fourth plane with equation x + y + z = d passes through the point of intersection. Find the value of d. ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... .................
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This note was uploaded on 06/24/2013 for the course HISTORY exam taught by Professor Apple during the Fall '13 term at Berlin Brothersvalley Shs.

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