Stuck on these two questions will RATE asap!!!! Consider the vectors which pairs

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

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