Given that a 3i j 4k, b 2i 4j 3k and c i 2j k, find (a) The magnitude of the vector a b c (b) A unit vector parallel to 3a 2b 4c (c) The angles between the vectors a and b and between b and c (d) The position vector of the centre of mass of particles of masses 1, 2 and 3 placed at points A, B and C with position vectors a, b and c respectively

Question: Given that a = 3i j 4k, b = 2i + 4j 3k and c = i + 2j k, find

Given that a = 3i – j – 4k, b = –2i + 4j – 3k and c = i + 2j – k, find

(a) The magnitude of the vector a + b + c

(b) A unit vector parallel to 3a – 2b + 4c;

(d) The position vector of the centre of mass of particles of masses 1, 2 and 3 placed at points A, B and C with position vectors a, b and c respectively.

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