Question: please refer below question. QUESTION 6 (15 MARKS) a) Find the acute angle in degree between the planes defined by 8x + 10y + 3z

please refer below question.

QUESTION 6 (15 MARKS) a) Find the acute angle in degree between the planes defined by 8x + 10y + 3z = 4 and 2x + 4y + 6z = 3. ( 3 marks ) b) Find the shortest distance between the point A(2, 5, -7) and the plane 3x - 5y + 6z = 9. ( 7 marks ) c) Determine whether the line with equation 22 r = -6 +t 1 -11 -11 lies in the plane that contains the points A(2, 5, 6), B(-7, 1, 4) and C(6, -2 - 9). ( 5 marks )

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