Let … and … be distinct non-negative numbers. If the vectors … and … lie in a plane, then … is :

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Vector Algebra

JEE Main 2005 · Annual, Paper 1 · Q5683

MathematicsMedium202×since 2002Q5683

Let

a, b

and

c

be distinct non-negative numbers. If the vectors

a\widehat i + a\widehat j + c\widehat k,\,\,\widehat i + \widehat k

and

c\widehat i + c\widehat j + b\widehat k

lie in a plane, then

c

is :

JEE Main 2005 · Annual, Paper 1 · Q5683

MathematicsMedium202×since 2002Q5683

Let

a, b

and

c

be distinct non-negative numbers. If the vectors

a\widehat i + a\widehat j + c\widehat k,\,\,\widehat i + \widehat k

and

c\widehat i + c\widehat j + b\widehat k

lie in a plane, then

c

is :