Let a^{\to} = a_1i^{\^}+a_3k^{\^} , b^{\to} = b_1i^{\^}+b_2j^{\^}+b_3k^{\^} and c^{\to} = c_1i^{\^}+c_2j^{\^}+c_3k^{\^} be three non-zerovectors such that c^{\to} is a unit vector perpendicular to both a^{\to} and b^{\to}. If the angle between a^{\to} and b^{\to} is \pi/6 then the value of |\table a_1,b_1,c_1;a_2,b_2,c_2;a_3,b_3,c_3|^2 is

Correct Answer is : 14(a12+a22+a33) (b12+b22+b32)

3/4(a_1^2+a_2^2+a_3^3) (b_1^2+b_2^2+b_3^2)

1/4(a_1^2+a_2^2+a_3^3) (b_1^2+b_2^2+b_3^2)

JEE Mains Model Paper 8

Question : 25 of 90

Marks: +1, -0

Let

→

= a1

+a3

→

= b1

+b2

+b3

and

→

= c1

+c2

+c3

be three non-zerovectors such that

→

is a unit vector perpendicular to both

→

and

→

. If the angle between

→

and

→

then the value of |

|2 is

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