Find the area of triangle formed by tips of vectors a=i-j-3k b=4i -3j+k & c=3i-j+k.PLEASE EXPLAIN.

Asked by Vidush | 7th Jun, 2013, 09:27: AM

Expert Answer:

vectors representing the sides of the triangle will be: ab = (4-1)i + (-3+1)j + (1+3)k = 3i -2j + 4k
and ac = (3-1)i + (-1+1)j + (1+3)k = 2i + 4k
 
the area would be 1/2(ab.ac) (dot product)
it is so because the geometrical meaning of the dot product is the area of the space enclosed by the two vectors.

Answered by  | 8th Jun, 2013, 11:53: AM

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