Question

Please help me with these im not good at these at all :P
1. If a vector has an initial point (0,0) and a terminal point (-15,8) which is closest to the magnitude of the vector?

A. 7.0
B. 12.7
C. 17.0
D.23.0

2. write the sum of the two vectors as an ordered pair.
(7,-5) and (4,4)

A. (-1,11)
B. (3,-1)
C. (11,-1)
D. (-1,3)

Answer 1

f you have two points P = (p_1, p_2) and Q = (q_1, q_2), of line segment PQ, then vector v is represented by <v1, v2> = <q1 - p1, q2 - p2> and the length of vector v is:

\[||v|| = \sqrt{(q_1 - p_1)^2 + (q_2 - p_2)^2}\]
\(= \sqrt{v^2_1 + v^2_2}\)

Answer 2

In this case P = (0,0) and Q = (-15,8) so

\[||v|| = \sqrt{(-15 - 0)^2 + (8 - 0)^2}\]

Answer 3

Its 17 right?