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Q.

Suppose a¯=λi¯7j¯+3k¯,b¯=λi¯+j¯+2λk¯, If the angle between a¯ and b¯  is greater than 90°, then λsatisfies the inequality.

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a

-7 < λ < 1

b

λ > 1

c

1 < λ < 7

d

-5 < λ < 1

answer is A.

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Detailed Solution

a¯=λi¯7j¯+3k¯;b¯=λi¯+j¯+2λk¯  If (a¯,b¯)>900a¯b¯<0

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