Home
Class 11
MATHS
Show that |{:(b+c,c+a,a+b),(c+a,a+b,b+c)...

Show that `|{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=2|{:(a,b,c),(b,c,a),(c,a,b):}|`

Text Solution

Verified by Experts

The correct Answer is:
`=2|{:(a,b,c),(b,c,a),(c,a,b):}|`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|9 Videos
  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.1 (Very short answer questions)|20 Videos
  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

|(a+b,c,c),(b,a+c,b),(a,a,b+c)|=

Show that |{:(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c):}|=0

Show that |{:(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b):}|=2(a+b+c)^3

|(a,b,c),(a-b,b-c,c-a),(b+c,c+a,a+b)|=

If |(a+b,b+c,c+a),(b+c,c+a,a+b),(c+a,a+b,b+c)|=k|(a,b,c),(b,c,a),(c,a,b)| then k=

Show that |{:(a,c,a+c),(a+b,b,a),(b,b+c,c):}|=4abc

Show that |{:(bc,b-c,1),(ca,c+a,1),(ab,a+b,1):}|=(a-b)(b-c)(c-a)

Show that |{:(bc,b+c,1),(ca,c+a,1),(ab,a+b,1):}|=(a-b)(b-c)(c-a)

|(b+c,a+b,a),(c+a,b+c,b),(a+b,c+a,c)|=