Consider the x-axis as representing east, the y-axis as north and z-axis as vertically upwards. Give the vector representing each of the following points .
5 m north east and 2 m up,

Explanation

Here,` X = x cos 45^(@) = (5)/(sqrt(2)) hat (i)`
`Y = x sin 45^(@) = (5)/(sqrt(2)) hat (j)`
`Z = 2 m = 2 hat (k)`
`:. (5 hat(i) + hat(j))/(sqrt(2)) + 2 hat (k)`