What is the z component of a vector parallel to the x-y plane ? explain
find all unit vectors parallel to the x-y plane and perpendicular to the vector [1,-2, 2 ]
In any vector in the xy plane has no vertical component so its z component is zero.
for part two
is the vector is parallel to the xy plane it is perpendicular to the z axis
again let <x,y,z> be any vector so we know that
so we get
<x,2x,0> =x<1,2,0>
To make this a unit vector divide each component of the vector by the vectors magnitude!