Question

If \(\vec{a} = \vec{i} + \vec{j} \vec{k},\; \vec{b} = 4\vec{i} - 2\vec{j} + 3\vec{k},\; \vec{c} = \vec{i} - 2\vec{j} + \vec{k}\), find a vector of magnitude 6 units which is parallel to the vector \(2\vec{a} - \vec{b} + 3\vec{c}\)

Answer 1

 \(2\vec{a} = 2\vec{i} + 2\vec{j} + 2\vec{k}\)