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Vector Algebra question

2005 · Shift 0 · Q91

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2005 · Shift 0 · Q91

Vector Algebra question

2005 · Shift 0 · Q91

JEE MainMathematicsVector AlgebraMCQ+4 / −1

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 :

A
the Geometric Mean of $a$ and $b$
B
the Arithmetic Mean of $a$ and $b$
C
equal to zero
D
the Harmonic Mean of $a$ and $b$

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