1a. given that p = (5,4), q = (7,3), r = (8,6), and s = (4,1), find the component form of the vector pq + 3rs. a. (-10,-16) b. (-6,4) c. (-2,-6) d. (14,14) 1b. use the information from 1a to find the magnitude of the vector pq + 3rs. a. 356 b. √26 c. 2√10 d. 2√89 2a. given that p = (5,4), q = (7,3), r = (8,6), and s = (4,1), find the component form of the vector pq + 4rs. a. (18,19) b. (-2,-6) c. (-14,-21) d. (-18,-19) 2b. use the information from 2a to find the magnitude of the vector pq + 4rs. a. 2√10 b. 7√10 c. √35 d. 637 3a. given that p = (5,4), q = (7,3), r = (8,6), and s = (4,1), find the component form of the vector pq + 5rs. a. (22,24) b. (-2,-6) c. (-18,-26) d. (-22,-24) 3b. use the information from 3a to find the magnitude of the vector pq + 5rs. a. 1000 b. 10√10 c. 2√11 d. 2√10

1a) a) , 1b) , 2a) , 2b) , 3a) , 3b)

Step-by-step explanation:

1a) The vectors and are determined:

The component form of the resultant vector is:

1b) The magnitude of the resultant vector is:

2a) The vectors and are determined:

The component form of the resultant vector is:

2b) The magnitude of the resultant vector is:

3a) The vectors and are determined:

The component form of the resultant vector is:

3b) The magnitude of the resultant vector is:

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry