Question: The three vectors a = (1, 0, 0), b = (1, 1, 0) and c = (1, 1, 1) are given. Evaluate (a)

The three vectors a = (1, 0, 0), b = (1, 1, 0) and c = (1, 1, 1) are given. Evaluate

(a) a × b, b × c, c × a

(b) a · (b × c)

For the vector d = (2, –1, 2) calculate

(c) The parameters a, b, g in the expression

d = a + b + yc

(d) The parameters p, q, r in the expression

d = pa b + qb X c + rc X a

and show that

P = r = c.d a.(b x c) b.d a.(b c) 9: a.d a. (b c) and

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