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

Show that `|{:(a,b,c),(b,c,a),(c,a,b):}|^2=|{:(2bc-a^(2),c^(2),b^(2)),(c^(2),2ac-b^(2),a^(2)),(b^(2),a^(2),2ab-c^(2)):}|=(a^(3)+b^(3)+c^(3)-3abc)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`(a^(3) +b^(3) +c^(3) -3abc)^(2)`
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 2

    VGS PUBLICATION-BRILLIANT|Exercise SECTION -A (VERY SHORT ANSWER TYPE QUESTIONS)|10 Videos

  • MODEL PAPER 2

    VGS PUBLICATION-BRILLIANT|Exercise SECTION -B (SHORT ANSWER TYPE QUESTIONS)|7 Videos

  • MODEL PAPER 2

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B|7 Videos

  • MODEL PAPER 12

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (Long Answer type questions)|9 Videos

  • MODEL PAPER 3

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C|7 Videos

Similar Questions

Explore conceptually related problems

Show that |{:(a,b,c),(b,c,a),(c,a,b):}|=|{:(2bc-a^2,c^2,b^2),(c^2,2ac-b^2,a^2),(b^2,a^2,2ab-c^2):}|=(a^3+b^3+c^3-3abc)^2

|((b+c)^(2),a^(2),bc),((c+a)^(2),b^(2),ca),((a+b)^(2),c^(2),ab)|=

|(0,ab^(2),ac^(2)),(a^(2)b,0,bc^(2)),(a^(2)c,b^(2)c,0)|=

Show that |{:(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab):}|=0

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

|(0,c,b),(-c,0,a),(b,a,0)|-|(b^(2)+c^(2),ab,ac),(ab,c^(2)+a^(2),bc),(ac,bc,a^(2)+b^(2))|=