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Chapter 9: Q16. (page 637)

Express the vector with initial point Pand terminal point Qin component form.

P(−1,3)Q(−6,−1)

Short Answer

Expert verified

The vector with initial pointP(-1,3)and terminal pointQ-6,-1in component form is-5,-4.

Step by step solution

01

Step 1. Given information.

Initial Point -1,3 and Terminal Point -6,-1.

Component form formula x1,y1,x2,y2=x2-x1,y2-y1

02

Step 2. Determining the component form.

The component form of the vector is given as

=-6-(-1),-1-3

=(-6+1,-4)

=(-5,-4)

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A river flows due south at 3mi/h. A swimmer attempting to cross the river heads due east swimming at 2mi/h relative to the water. Find the true velocity of the swimmer as a vector.

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