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Question

Mathematics Question on Vectors

Let a, b, c be three distinct real numbers, none equal to one. If the vectors ai^+j^+k^,i^+bj^+k^a\hat{i}+\hat{j}+\hat{k},\hat{i}+b\hat{j}+\hat{k} and i^+j^+ck^\hat{i}+\hat{j}+c\hat{k} are coplanar, then 11a+11b+11c\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c} is equal to

A

-1

B

1

C

-2

D

2

Answer

1

Explanation

Solution

The correct option is(B): 1