Question
Stuck on these two questions will RATE asap!!!!
Consider the vectors which pairs (if any) of these vectors are perpendicular? Enter none or a pair or list of pairs, e.g., fa is perpendicular to and , enter (a,b),(a,c).) Are parallel? Enter none or a pair or list of pairs, e.g., if is parallel to and , enter (a,b),(a,c).) Have an angles less than pi/2 between them? Enter none or a pair or list of pairs, e.g., fa is at an angle less than pi /2 from and , enter (a,b),(a,c).) Have an angle of more than pi/2 between them? pi Enter none or a pair or list of pairs, e.g., fa is at an angle greater than pi 2 from b and c, enter (a,b),(a,c).) Perform the following operations on the vectors =(2,-5,-1), =(1,-2,4) and =(-5,5,-3) Note: You can earn partial credit on this problem.
Explanation / Answer
u.w=2.(-5)+(-5).5+(-1)(-3)
=-32
la.bl=lallblcostheta
11=27costheta
costheta=11/27
theta=65.95deg
Similarly for a.c,theta=180 deg
For a.d
theta=114.04 deg
For a.g
theta=90 deg
For b.c
theta=114.04 deg
For b.d
theta=180 deg
For b.g
theta=90 deg
For c.d
theta=65.95 deg
For c.g
theta=90 deg
For d.g
theta=90 deg
Hence,(a.c),(a.d),(b.c),(b.d) have more than pi/2 between them