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Answer:

i × i  = 0

j × j  = 0

k × k  = 0

Cross Product of Column Matrices

Definition of the Cross product for column matrices u × v

u and v must represent 3D vectors.
The result represents a 3D vector.
If vector u is represented by u = (u_i , u_j , u_k )^T
and if vector v is represented by v = (v_i , v_j , v_k )^T.
Then u × v = ( u_j v_k - u_k v_j , u_k v_i - u_i v_k , u_i v_j - u_j v_i )^T.

There is a pattern in how this is formed. Look at it a bit. But don't even think of memorizing it.

QUESTION 11:

What is: (1, 2, 3)^T × (0, 0, 0)^T ?