The two vectors j + k and 3i - j + 4k represent the two side vectors vector AB and AC

Question

The two vectors \(\hat{j}+\hat{k}\) and \(3\hat{i}-\hat{j}+4\hat{k}\) represent the two side vectors \(\vec{AB}\) and \(\vec{AC}\) respectively of triangle ABC. Find the length of the median through A.

Answer 1

Here \(\vec{AB}=\hat{j}+\hat{k}\) and \(\vec{AC}=3\hat{i}-\hat{j}+4\hat{k}\)

\(\therefore \vec{BC}=\vec{BA}+\vec{AC}\)