JEE Main 22 July 2021 Shift 2 Solved Paper

Three particles P,Q and R are moving along thevectors

→

A

=

^

i

+

^

j

,

→

B

=

^

j

+

^

k

and

→

C

=−

^

i

+

^

j

respectively. They strike on a point and start tomove in different directions. Now particle P ismoving normal to the plane which contains vector

→

A

and

→

B

. Similarly particle Q is moving normalto the plane which contains vector

→

A

and

→

C

. Theangle between the direction of motion of P and Qis cos−1(

1

√x

). Then the value of x is ______.