4 If a = 5i +4j + 2k, b = 4i – 5j + 3k and c= 2i – j- 2k, where i, j, k are the unit vectors, determine: (a) the value of a.b and the angle between the vectors a and b (b) the magnitude and the direction cosines of the product vector (a x b) and also the angle which this product vector makes with the vector c.

Q: a= b=

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