Let the vector v v have an initial point at ( 1 , − 7 ) (1,−7) and a terminal point at ( 3 , − 2 ) (3,−2). Determine the compone
1 answer:
Answer: The vector is < 2, 5 >
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Explanation:
Label the initial point (1,-7) as point P and (3,-2) as point Q.
- The x coordinate of P is 1
- The x coordinate of Q is 3
This is a change of +2, meaning we move 2 units to the right.
Therefore, the x component of the vector is +2 or simply 2.
- The y coordinate of P is -7
- The y coordinate of Q is -2
This is a change of +5 when moving from P to Q. We have moved 5 units up. The y coordinate of the vector is +5 or simply 5.
Overall, the vector is < 2, 5 > which tells the reader "move 2 units to the right and 5 units up.
Refer to the diagram below.
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