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a. Let a = (0 -1 10), b = (2 0 20), and c = (4 1 30)
Compute a*b + b*c + c*a

b. Let a,b,c be vectors such that a*b + b*c + c*a = (-3 -12 4) 
Find the area of the triangle whose vertices are a,b  and  c

c. Let  a,b,c be three vectors that lie on the same line. Find a*b + b*c + c*a

I need some help with part one and the simple calculations before moving on to other parts for homework!

 Apr 18, 2021
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a. a*b + b*c + c*a = (-20,20,2) + (-20,30,5) + (50,10,8) = (10,60,15)

 

b. The area of the triangle is 10.

 

c. a*b + b*c + c*a = (1,1,1).

 Apr 18, 2021

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