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Problem 1

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. $$ \overrightarrow{P Q} $$

Problem 2

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. $$ \overrightarrow{P R} $$

Problem 3

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. $$ \overrightarrow{Q P} $$

Problem 4

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. $$ \overrightarrow{R P} $$

Problem 5

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. $$ \overrightarrow{P Q}+\overrightarrow{P R} $$

Problem 6

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. $$ \overrightarrow{P Q}-\overrightarrow{P R} $$

Problem 7

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. $$ 2 \overrightarrow{P Q}-2 \overrightarrow{P R} $$

Problem 8

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. $$ 2 \overrightarrow{P Q}+\frac{1}{2} \overrightarrow{P R} $$

Problem 9

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. The unit vector in the direction of \(\overrightarrow{P Q}\)

Problem 10

For the following exercises, consider points \(P(-1,3)\) \(Q(1,5),\) and \(R(-3,7) .\) Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. The unit vector in the direction of \(\overrightarrow{P R}\)

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