4 Vectorhas initial point 43 and terminal point 51 Determine

4 Vectorhas initial point 43) and terminal point (-5,1 Determine the coordinates of the a point terminal point of AC if AC=-28. O(18,4) 0 (2,7) (-1,3) and w-(2,4). Find the resulting vector of 2u-4w in component form. (1 point) O-10,-10) (-3,1) 10) 5. Let u (1 point) 6. Given that u = (-3,4), write the vector u as a linear combination of standard unit vectors i and O-3i-4j O-3 +4j 3i-4j

Solution

Q4. initial point(4,3) and terminal point (-5,1) of AB

vector AB = terminal- initial = <-5-4 , 1-3> = <-9,-2>

vector AC = -2AB = <18,4>

coordinates of terminal point of AC = vector + initial point

= <18,4> + (4,3) = (22 , 7)

Q5.

2u - 4w = 2<-1,3> - 4<2,4> = <-2,6> - <-8,16> = <-10, -10>

Q6.

u = <-3,4> = -3i + 4j