Coordinates of the end point of a vector `vec(OP)` is (4,3,-5). Express the vector in terms of its coordinates and find its absolute value.

Explanation

If the coordinates of P is (x,y,z) then,
`vec(OP)=hati+yhatj+zhatk`
Here, x=4,y=3,and z=-5
`therefore vec(OP)=4hati+3hatj-5hatk`
and the absolute value of the vector,
`OP=|vec(OP)|=sqrt(x^2+y^2+z^2)`
`=sqrt(4^2+3^2+(-5)^2)`
`=sqrt(16+9+25)=sqrt(50)=5sqrt(2)`.