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A, B, and C:...


A, B, and C:

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If a,b,c are in G.P., then (A) (a-b)/(b-c)=a/a (B) (a-b)/(b-c)=a/b (C) (a-b)/(b-c)=a/c (D) (a-b)/(b-c)=b/a

Prove: |(a+b,b+c,c+a),( b+c,c+a, a+b),( c+a, a+b,b+c)|=2|(a, b, c),( b, c, a),( c, a, b)|

If |(b +c,c +a,a +b),(a +b,b +c,c +a),(c +a,a +b,b +c)| = k |(a,b,c),(c,a,b),(b,c,a)| , then the value of k, is 1 b. 2 c. 3 d. 4

|(a - b, b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c)|=0

The value of |{:(a- b, b- c, c - a),(b-c,c-a,a-b),(c-a,a-b,b-c):}| =

|[a-b, b-c, c-a], [b-c, c-a, a-b], [c-a, a-b, b-c]|=?

Prove that: |{:(-2a, a+b, a+c), (b+a,-2b,b+c),(c+a, c+b,-2c):}|=4(a+b)(b+c)(c+a)