Answer:
Step-by-step explanation:
QP = P - Q
= <-7, 16> - <-8, 7> = <-7+8, 16-7>
QP = <1, 9>
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|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