Answer
Neither is a unit vector.
Work Step by Step
Generally vector can be shown by (Ai + Bj + Ck )
Magnitude of vector (Ai + Bj + Ck ) is given by (A^2 + B^2 + C^2 )^(1/2)
In vector ( i + j + k ), A=1, B=1 and C=1
Therefore, Magnitude of vector ( i + j+k ) = (1^2 + 1^2 + 1^2 )^½= 3^(1/2)
In vector (3.0 i -2.0j), A=3, B=-2 and C=0
Therefore, Magnitude of vector (3.0 i -2.0j) = 〖[3^2 +(-2)^2+0^(2 )]〗^½= 13〗^(1/2)
Vector whose magnitude is 1 is called unit vector.
In this question magnitudes of two vectors are not equal to 1. So, both are not unit vectors.
