Consider the points A(3, −1, 10), B(−1, 4, 1), C(5, −2, −1), and D(1, 1, 1)  (a) Determine the volume of the parallelepiped P with adjacent sides−→  DA,−→ DB, and−→ DC.

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MTH 261 SECTION 2.4 220 alt DELTA COLLEGE 

Consider the points A(3, −1, 10), B(1, 4, 1), C(5, −2, −1), and D(1, 1, 1) 

(a) Determine the volume of the parallelepiped P with adjacent sides−→ 

DA,−→ DB, and−→ DC

(b) To the nearest tenth of a unit, calculate the distance from D to the plane determined by A, B, and C

(c) To the nearest tenth of a unit, calculate the distance from A to the plane determined by D, B, and C

(d) To the nearest tenth of a degree, calculate the measures of the three acute angles between each pair of parallel faces of P

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