The vector that must be added to the vector i-3j+2k and 3i+6j-7k so that the resultant vector is a unit vector along the y-axis is?
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We have,
A=i−3j+2k and B=3i+6j−7k
So, here A+B+C=j .... (j is the unit vector along the y-axis and Cis the resultant vector)
So, A+B=4i+3j−5k.−2
So, According the subst rule (2) in( 1):
4i+3j−5k+C=j
C=j−(4i+3j−5k)
=j−4i−3j+5k
=−4i−2j+5k
Thus, −4i−2j+5k is the vector which must be added so that the resultant is a unit vector along the y-direction.
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