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Q.

Unit vectors  a,¯b,¯c¯  are coplanar. A unit vector    d¯  is perpendicular to them
If (a¯×b¯)X(c¯×d¯)=16i13j+13k   then which of the following vectors are parallel to      c¯

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a

-i+2j+3k

b

-i+2j-2k

c

2i-4j+4k

d

-i+2j+k

answer is A, B.

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Detailed Solution

a¯    b¯    d¯c¯=16i13j+13k

c¯=λ16i13j+13k

 if λ=12

    c¯=2i4j+4k

 if λ=6

    c¯=i+2j2k

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