Use the given points to find the component form of PQ righta


Use the given points to find the component form of PQ, rightarrow PQ P(l, 1), Q(2, 5)________P(-3, -5), Q(-5, 1)_________P(4, 2), Q(0, -1)__________

Solution

a) P( 1,1) and Q ( 2, 5)

PQ = (5-1 , 2-1) = ( 4 , 1)

|PQ| = sqrt(4^2 +1) = sqrt(17)

b) P (-3, -5) and Q (-5, 1)

PQ = ( -5 +3 , 1+5) = (-2 , 6)

|PQ| = sqrt(2^2 +6^2) = sqrt(4+36) = sqrt40

c) P(4,2) and Q (0, -1)

PQ = (0 -4 , -1 -2) =( -4 , -3)

|PQ| = sqrt(4^2 +3^2) = 5

 Use the given points to find the component form of PQ, rightarrow PQ P(l, 1), Q(2, 5)________P(-3, -5), Q(-5, 1)_________P(4, 2), Q(0, -1)__________Solutiona)

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