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 and the direction is of 45°. a) 5 m north east and 2 m up b)4 m south east and 3 m up c) 2 m north west and 4 m up

Consider the x - axis as representing east, the y - axis as north and

1.	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 and the direction is of 45°. a) 5 m north east and 2 m up b)4 m south east and 3 m up c) 2 m north west and 4 m up
Answer» SOLUTION :`X = 2 cos 45^(@) = (2)/(sqrt(2)) HAT (i)` `Y = 2 sin 45^(@) = (2)/(sqrt(2)) hat (j)` `Z = 4m = 4 hat (k)` `:. (- hat(i) + hat(j)) sqrt(2) + 4 hat(k)`