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Q.

If the vectors A→=ai^−aj^+k^  and B→=ai^+j^−2 are mutually perpendicular, then positive value of ‘a’ is

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a

2

b

4

c

3

d

1

answer is A.

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Detailed Solution

(1)A→.  B→  =  0⇒ai^−aj^+k^  .ai^+j^−2=0⇒  a2−a−2=0    ⇒ a−2a+1=0  ⇒  a=2,  −1
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