Question: 3. If a =12 , b =8, and the angle between them is 60, determine the magnitude and direction of a +b . Include a

3. If a =12 , b =8, and the angle between them is 60, determine the magnitude and direction of a +b .

of 25 km/h and a heading of N10 W. There is a

3. If a =12 , b =8, and the angle between them is 60, determine the magnitude and direction of a +b . Include a diagram. (4 marks) 4. A ship has a cruising speed of 25 km/h and a heading of N10 W. There is a current of 6 km/h, travelling N70 W. What is the resultant velocity of the ship? (5 marks)5. Given points A(6,-2,1) B(0,5,6) and C(-3,-5,2) a) Find the vector equation of the line through A and B (1 mark) b) Find the distance from point C to line in part a) (3 marks) c) Determine the scalar equation of the plane containing points A, B, and C. (3 marks) 9

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