Three vectors a, b and c are given by: a= -î+3j+3k b= 2î-3j+5k c= 5î-2j+3k...

Three vectors a, b and c are given by:
a= -î+3j+3k
b= 2î-3j+5k
c= 5î-2j+3k

Find 3a-4b+5c?

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Answers (2)

TruthOdeh
1 month ago
a= -î+3j+3k
b= 2î-3j+5k
c= 5î-2j+3k
3a= -3î+9j+9k
-4b= -8î+12j-20k
5c= 25î-10j+15k
3a-4b+5c= -3î+9j+9k -(+8î-12j+20k) + (25î-10j+15k)
3a-4b+5c= -3î+9j+9k -8î+12j-20k + 25î-10j+15k
3a-4b+5c= -3î + 25î -8î +9j -10j +12j +9k-20k +15k
3a-4b+5c= 14î +11j +4k
Aliyu
1 month ago
solution
3a= 3(-i+3j+3k)_4(2i_3j+5k)+5(5i_2j+3k)
_3i+9j+9k_8i+12j_20k+25i_10j+15k
collect like terms
_3i_8i+25i+9j+12j_10j+9k+15k_20k
14i+11j+4k
ans=14i+11j+4k
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