Question

Let \[\vec{A} = 3 \vec{i} + 4 \vec{j}\]. Write a vector \[\vec{B}\] such that \[\vec{A} \neq \vec{B}\], but A = B.

Answer 1

A vector \[\vec{B}\] such that  \[\vec{A} \neq \vec{B}\], but A = B are as follows:

\[(i)  \ \vec{ B} = 3 \vec{i} - 4 \vec{j} \]

\[(ii)  \ \vec{ B} = 3 \vec{j} + 4 \vec{k} \]

\[(iii)  \ \vec{ B} = 3 \vec{k} + 4 \vec{i} \]

\[(iv) \ \vec{ B} = 3 \vec{j} - 4 \vec{k}\]