Respuesta :

Answer:

  • <1, 9>
  • √82

Step-by-step explanation:

QP = P - Q

  = <-7, 16> - <-8, 7> = <-7+8, 16-7>

QP = <1, 9>

___

|QP| = √(1^2 +9^2)

|QP| = √82

Answer:

Component form of QP is [tex]1\hat{i}+9\hat{j}[/tex] and Magnitude of QP is √82

Step-by-step explanation:

Given coordinates of the point P ( -7 , 16 ) and Point Q ( -8 , 7 )

Component form of QP = [tex](-7-(-8))\hat{i}+(16-7)\hat{j}[/tex]

                                       = [tex]1\hat{i}+9\hat{j}[/tex]

Magnitude of QP = [tex]\left|QP\right|=\sqrt{1^2+9^2}[/tex]

                            = [tex]\sqrt{82}[/tex]

Therefore, Component form of QP is [tex]1\hat{i}+9\hat{j}[/tex] and Magnitude of QP is √82

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