QJEEM03Maec08: JEE Main 2003 Physics - Class 11 JEEM03Maec08 Solution: Consider points and with position vectors and respectively.…

Question

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Consider points

A, B, C

and

D

with position

vectors

7\widehat i - 4\widehat j + 7\widehat k,\widehat i - 6\widehat j + 10\widehat k, - \widehat i - 3\widehat j + 4\widehat k

and

5\widehat i - \widehat j + 5\widehat k

respectively. Then

ABCD

is a :

Accepted Answer

A = \left( {7, - 4,7} \right),B = \left( {1, - 6,10} \right),

C = \left( { - 1, - 3,4} \right)

and

D = \left( {5, - 1,5} \right)

AB = \sqrt {{{\left( {7 - 1} \right)}^2} + {{\left( { - 4 + 6} \right)}^2} + {{\left( {7 - 10} \right)}^2}}

= \sqrt {36 + 4 + 9} = 7

Similarly

BC = 7,\,\,CD = \sqrt {41} ,\,\,DA = \sqrt {17}

\therefore

None of the options is satisfied

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