Let the vectors 1 u r = k ˆ a j ˆ i ˆ + + , 2 u r = k ˆ j ˆ b i ˆ + + and 3 u r = k ˆ j ˆ i ˆ c + + be coplanar. If the vectors 1 v r = (a + b) k ˆ c j ˆ c i ˆ + + , 2 v r = k ˆ a j ˆ ) c b ( i ˆ a + + + and k ) a c ( j ˆ b i ˆ b v 3 + + + = r are also coplanar, then 6 (a + b + c) is equal

Question

Let the vectors 1 u r = k ˆ a j ˆ i ˆ + + , 2 u r = k ˆ j ˆ b i ˆ + + and 3 u r = k ˆ j ˆ i ˆ c + + be coplanar. If the vectors 1 v r = (a + b) k ˆ c j ˆ c i ˆ + + , 2 v r = k ˆ a j ˆ ) c b ( i ˆ a + + + and k ) a c ( j ˆ b i ˆ b v 3 + + + = r are also coplanar, then 6 (a + b + c) is equal to

Accepted Answer

12

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