let a,b and c be three natural numbers such that all are not equal. Let X^{\to} = ai^{\^}+bj^{\^}+ck^{\^} , Y^{\to} = bi^{\^}+cj^{\^}+ak^{\^} and Z^{\to} = ci^{\^}+aj^{\^}+bk^{\^} be three vectors such thatthe value of (X^{\to}\timesY^{\to}) , [(Y^{\to}\timesZ^{\to})\times(Z^{\to}\timesX^{\to})] is minimum.Then which of the followingis/are correct?

volume of a parallelopiped with sides X^{\to},Y^{\to} and Z^{\to} is 4

The acute angle between X^{\to} and Y^{\to} is \cos^{-1} 5/6

Volume of a parallelopiped with sides X^{\to},Y^{\to} and Z^{\to} is 9/2

(X^{\to}+Y^{\to}) , [(Y^{\to}+Z^{\to})\times(Z^{\to}+X^{\to})] = 9

JEE Advanced Model Paper 17 with solutions for online practice

Question : 44 of 60

Marks: +1, -0

let a,b and c be three natural numbers such that all are not equal. Let

→

= a

→

= b

and

→

= c

be three vectors such thatthe value of (

→

) , [(

→

)×(

→

)] is minimum.Then which of the followingis/are correct?

Go to Question:

Prev Question

Next Question