Answer to Question #105888 in Analytic Geometry for Jflows

Question

If (AB)=3i+j− k and (BC)=−i+3j+2k, then (AB)+BC is ____

a.2i+4j+k

b.2i-4j+5k

c.2i+4j-k

d.2i-4j+k

Answer 1

Find the value of the sum of vectors:

 AB+ BC= {ABi+ BCi; ABj+ BCj; ABk+ BCk} = {3i+ (-1)i; 1j+ 3j; (-1)k+ 2k} =

 = {2i+4j+1k}

Answer: a