If |a|=√6 , |b|=√6 , |axb|=√11, find a.b

 

If |a|=√6 , |b|=√6 , |axb|=√11, find a.b

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1.) Find the area of parallelogram whose three of four vertices are A(1,2,3), B(3,4,5) and C(1,4,7).

2.)Find the are of the triangle formed by the points A(1,2,3),B(2,5,-1) and C(-1,1,2).

3.)Find the area of parallelogram whose diagonal are represented by the vector 2i+3j-3k and 2i-3j+3k.

4.)If a=i+j-3k and b=-+2j-3k then Find the unit vector perpendicular to a and b .

5.)If lal= 2, lbl= 3 and a.b= √11 then laxbl = ?