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What vector 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.

What vector 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.

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Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Adding the given two vectors
4i + 3j-5k

What can be added to this to make unit vector along y axis
Can easily be found
ie -4i-2j+5k

Regards
Khimraj
3007 Points
4 years ago
We have : 
A= i-3j+2k and B= 3i +6j-7k
So here we want A+B+C= j. -(1) ( j is the unit vector along y axis) 
So A+B = 4i + 3j -5k. - (2)
So by subst.( 2) in( 1) :
4i + 3j -5k. + C= j 
C= j - ( 4i + 3j -5k.)
= j-4i -3j +5k 
= -4i -2j + 5k 
Hence, -4i -2j + 5k is the vector which must be added so that the resultant is a unit vector along y direction.... 

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