Question

I just need numbers 4 and 8

CONCEPT PREVIEW Refer to the vectors m through t below. 1. Name all pairs of vectors that appear to be equal. 2. Name all pairs of vectors that are opposites. 3. Name all pairs of vectors where the first is a scalar multiple of the other, with the scalar positive. 4. Name all pairs of vectors where the first is a scalar multiple of the other, with the scalar negative.

Answer 1

Oues 4 =) solution! Here we have the following - pairs of vectors: = P = -] F = -3], = 72 = -3), v=-at

Beils 8 5) [a (los 1359+ i sin (13509) solution: om. Here we use Demoine's theoram. [ se (tas 0+isino) ] != [" (cou no + isinno) Here in given question r = 2 9 7 n=4 and = 185° = [2 (cas 135º+isin (1351] = [ 1219 [can (185*84+isin(4x13s)}} = 16 ( cos (540°) + i sin 1540°)) = 10 l 60s (360+180°) +i sin (360°+180")) = 16 ( 60s (180°) + i sin (180°))

= 16 (-| + ( x ) | LOA | 80° = - 1 sin 180º = 0 i ! where į is complex noy = -16 to Rectangular form: [a lues 13 5°t is in 185°))"=F-167 01 U