Login/Sign Up
Home » Find the value of λ for which the given planes are perpendicular to each other: (i) and (ii) and .
Find the value of λ for which the given planes are perpendicular to each other: (i) \overrightarrow r .(2\widehat i - \widehat j - \delta\ \widehat k) = 7 and \overrightarrow r .( 3\widehat i + 2\widehat j + 3\widehat k) = 9 (ii) \overrightarrow r .(\delta\ \widehat i + 2\widehat j + 3\widehat k) = 5 and \overrightarrow r .(\widehat i + 2\widehat j - 7\widehat k) + 11 = 0.
CBSE | Class 12 | Exercise 28F | Maths | RS Aggarwal | The Planes
Find the value of λ for which the given planes are perpendicular to each other: (i) \overrightarrow r .(2\widehat i - \widehat j - \delta\ \widehat k) = 7 and \overrightarrow r .( 3\widehat i + 2\widehat j + 3\widehat k) = 9 (ii) \overrightarrow r .(\delta\ \widehat i + 2\widehat j + 3\widehat k) = 5 and \overrightarrow r .(\widehat i + 2\widehat j - 7\widehat k) + 11 = 0.

Answer:

(i)

For plane perpendicular, cos 900 = 0

 

 

 

 

 

 

 

 

 

(ii)

For plane perpendicular, cos 900 = 0

 

 

 

 

(λ × 1) + (2 × 2) + (3 × -7) = 0

λ + 4 – 21 = 0

λ = 17

i

More Material