Question 150803
a)k=1, h=2 is correct
b)PQ=(13-6,-2-5)=(7,-7)
To find the unit vector, find the magnitude of the vector and divide the vector by it.
{{{abs(PQ)=sqrt((7)^2+(-7)^2)}}}
{{{abs(PQ)=sqrt(2(7)^2)}}}
{{{abs(PQ)=7*sqrt(2)}}}
{{{u[PQ]=PQ/abs(PQ)}}}
{{{u[PQ]}}}=({{{7/(7*sqrt(2))}}},{{{-7/(7*sqrt(2))}}})
{{{u[PQ]}}}=({{{1/(sqrt(2))}}},{{{-1/(sqrt(2))}}})
{{{u[PQ]}}}=({{{sqrt(2)/2}}},{{{-sqrt(2)/2}}})
{{{u[PQ]}}}={{{(sqrt(2)/2)i-(sqrt(2)/2)j}}}