Question: a) Given that the vectors a = (6, -2, 2s) and b = (-1, s + 1, 2) are perpendicular, what is the value of

a) Given that the vectors a = (6, -2, 2s) and b = (-1, s + 1, 2) are perpendicular, what is the value of s?

b) The points A(1, 2, 3), B(2, 2, 3), and C(3, 5, 7) form a triangle. What is the area of ABC?

c) Two forces of 4N and 5N act on an object and their corresponding force vectors have a dot product of 8. What is the angle between the two vectors?

d) What is the scalar projection of the vector (3, -2, 6) on (2, 4, 2)?

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