The two vectors `hatj+hatk " and " 3hati-hatj+4hatk` represent the two sides AB and AC, respectively of a ∆ABC. Find the length of the median through A
Using the triangle law of vector addition, we have
`:.vec(BD)=1/2vec(BC)=3/2hati-hatj+3/2hatk " (Since AD is the median)"`
In ∆ABD, using the triangle law of vector addition, we have
Hence, the length of the median through A is `1/2sqrt34`units.