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2. (i) A constant force of magnitude 100 N in a direction parallel to the vector 3i + 2j k is exerted on an object that moves from position vector -+2j + 4k to posi...

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2. (i) A constant force of magnitude 100 N in a direction parallel to the vector 3i + 2j k is exerted on an object that moves from position vector -+2j + 4k to position vector 2i + 2j- 3k . (a) Calculate the work done by the force on the object (you may assume that the units of the components of the position vectors are metres) (b) Calculate the angle between the force vector and the vector 4i + 5j . Give your answer to the nearest degree. (c) Find a unit vector that is perpendicular to both the

2. (i) A constant force of magnitude 100 N in a direction parallel to the vector 3i + 2j k is exerted on an object that moves from position vector -+2j + 4k to position vector 2i + 2j- 3k . (a) Calculate the work done by the force on the object (you may assume that the units of the components of the position vectors are metres) (b) Calculate the angle between the force vector and the vector 4i + 5j . Give your answer to the nearest degree. (c) Find a unit vector that is perpendicular to both the force vector and the vector

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