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D1.3. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, 4), and C(-3, 1, 5). Find: (a) RAB; (b) RAC; (c) the angle BAC at vertex A; (d) the (vector) projection of RAB on RAC. Ans. -8ax +4ay - 6az; -9ax +2ay + 3az; 53.6°; -5.94ax + 1.319ay + 1.979az

D1.3. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, 4), and C(-3, 1, 5). Find: (a) RAB; (b) RAC; (c) the angle BAC at vertex A; (d) the (vector) projection of RAB on RAC. Ans. -8ax +4ay - 6az; -9ax +2ay + 3az; 53.6°; -5.94ax + 1.319ay + 1.979az

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D1.3. The three vertices of a triangle are located at A(6, −1, 2), B(–2, 3, −4), and C(-3, 1, 5). Find: (a) RAB; (b) RAC; (c) the angle BAC at vertex A; (d) the (vector) projection of RAB on RAC. Ans. -8ax +4ay − 6az; −9ax +2ay + 3az; 53.6°; -5.94ax + 1.319ay + 1.979az
Transcribed Image Text:D1.3. The three vertices of a triangle are located at A(6, −1, 2), B(–2, 3, −4), and C(-3, 1, 5). Find: (a) RAB; (b) RAC; (c) the angle BAC at vertex A; (d) the (vector) projection of RAB on RAC. Ans. -8ax +4ay − 6az; −9ax +2ay + 3az; 53.6°; -5.94ax + 1.319ay + 1.979az
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We will first write the position vectors of the given vertices with respect to origin. This will help us to answer all the questions.

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