Question

Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of arrow QP.

Answer 1

Component form of QP is
`1\hat{i}+9\hat{j}` and Magnitude of QP is √82

Explanation:

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

Component form of QP =
`(-7-(-8))\hat{i}+(16-7)\hat{j}`

=
`1\hat{i}+9\hat{j}`

Magnitude of QP =
`\left|QP\right|=√(1^2+9^2)`

=
`√(82)`

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

Answer 2

• <1, 9>
• √82

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