BITSAT 2014 Paper

Let θ be the angle between the line and the normal to the plane. Converting the given equations into vector form, we have

→

r

= (−

^

i

+3

^

k

) + λ (2

^

i

+3

^

j

+6

^

k

) and

→

r

. (10

^

i

+2

^

j

−11

^

k

) = 3
Here ,

→

b

= 2

^

i

+3

^

j

+6

^

k

and

→

n

= 10

^

i

+2

^

j

−11

^

k

sin Φ =
= |

−40

7×15

| = |

−8

21

| =

8

21

or Φ = sin−1(

8

21

)