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Q.

A : If a, b, c form a left handed orthogonal system such that

a.a = 4, b.b=9, c.c=16 =>[a b c ]=-24

R : For left handed system [a b c] <0 , and a.a=|a|2; for orthogonal vectors a, b, c; [a b c]=±(|a|·|b|·|c|)

The correct answer is

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a

A is false, R is true

b

A,R are true, R is not correct explanation of A

c

A is true, R is false

d

A,R are true, R is correct explanation of A

answer is A.

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Detailed Solution

a·b=b·c=c·a=0[a b c]2=4000900016=4×9×16[a b c]=±2×3×4    [a b c]=-24

R :   correct

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