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Questions  

With respect to a rectangular cartesian coordinate system, three vectors are expressed as
a = 4i-j
b = -3i +2j
c = -k
where i, j, k are unit vectors, along the x, y and z-axis respectively. The unit vector r along the direction of sum of these vectors is

a
r=13(i+j−k)
b
r=12(i+j−k)
c
r=13(i−j+k)
d
r=12(i+j+k)

detailed solution

Correct option is A

Given that,a = 4i-j,b =-3i+2j and c=-kThe sum of three vectors = i + j - kThe unit vector along the direction of sunr=i+j−k1+1+1=13[i+j−k]

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