If three vectors 2i^{\to}-j^{\to}+k^{\to} , i^{\to}+2j^{\to}-3k^{\to} and 3i^{\to}+\lambdaj^{\to}+5k^{\to} are coplanar, then λ is

NIMCET 2013 Question Paper with solutions

Question : 35 of 120

Marks: +1, -0

If three vectors

2i↖{→}-j↖{→}+k↖{→}

i↖{→}+2j↖{→}-3k↖{→}

and

3i↖{→}+λj↖{→}+5k↖{→}

are coplanar, then λ is

Solution:

Since, vectors are coplanar

∴|\table2,-1,1;1,2,-3;3,λ,5|=0

⇒λ=-4

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