Question: - The position vectors of the points A, B and C are a = 3i j - k, b = 2i + 2j +

- The position vectors of the points A, B and C are

- The position vectors of the points A, B and C are a = 3i j - k, b = 2i + 2j + 7k and c = 5i + 2j 3k. Find (i) the position vector of the centroid of A, B and C. (ii) the position vectors of the points P and Q which divide AB internally and externally in the ratios AP: PB = 1:2 and AQ: QB = -2 :1. . Determine whet her the vectors a 2i 3j + 5k, b = 3i+j-2k and c = i- 7j + 12k are linearly dependent or linearly independent.

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