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Find the product [{:(0,c,-b),(-c,0,a),(n...

Find the product `[{:(0,c,-b),(-c,0,a),(n,-a,0):}][{:(a^2,ab,ac),(ab,b^2,bc),(ac,bc,c^2):}]`

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The correct Answer is:
(3,-2)
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|(-a^(2),ab,ac),(ab,-b^(2),bc),(ac,bc,-c^(2))|=

|(a^(2)+x,ab,ac),(ab,b^(2)+x,bc),(ac,bc,c^(2)+x)|

|(a^(2)+1,ab,ac),(ab,b^(2)+1,bc),(ac,bc,c^(2)+1)|=

|(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))|=

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

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

Add product : ab(a - b), bc(b - c), ca(c - a)

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

|(1//a,a^(2),bc),(1//b,b^(2),ca),(1//c,c^(2),ab)|=

AAKASH SERIES-STRAIGHT LINES-SOLVED EXAMPLES
  1. Find the incenter of the triangle formed by the straight lines y=sqrt(...

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  2. Find the incentre of the triangle formed by x+y-7=0,x-y+1=0,x-3y+5=0.

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  3. A triangle is formed by the lines ax+by+c=0, lx+my+n=0 and px+qy+r=0. ...

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  4. The Cartesian equation of the sides BC,CA, AB of a triangle are respec...

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  5. Find the acute angle between the lines y+2=0 and sqrt(3)x+y-1=0.

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  6. Find the value of k if the lines 2x+ky-10=0 and 5x+2y-7=0 are parallel...

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  7. Find the value of k if the lines (3x+4y+5)-k(x+y+3)=0 is (i) paral...

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  8. The lines 3x-ky-2=0 and 2x+y+2=0 are perpendicular find k.

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  9. The angle between the lines 3x-y-1=0 and 2x+ky+5=0 is 45^(@) find k

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  10. Find the angles of the triangle whose sides are x+y-4=0, 2x+y-6=0, 5x+...

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  11. If the four straight lines ax+by+p=0, ax+by+q=0, cx+dy+r=0 and cx+dy+s...

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  12. Find the foot of the perpendicular drawn from (-1,3) on the line 5x-y-...

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  13. Show that the feet of the perpendicular from (-2,-8) to the lines x-2y...

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  14. Find the image of (1-2) in the line 2x-3y+5=0.

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  15. x+y=4 is the perpendicular bisector of bar(AB) where A=(3,-3) Find B.

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  16. Find the product [{:(0,c,-b),(-c,0,a),(n,-a,0):}][{:(a^2,ab,ac),(ab,b^...

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  17. The hypotenuse of a right angled isosceles triangle has its ends at th...

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  18. A line is such that its segment between the lines 5x-y+4=0 and 3x+4y-4...

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  19. An equilateral triangle has its incentre at the origin and one side as...

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  20. A ray of light coming from the point (1,2) is reflected at a point A o...

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