• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Howard Vectors Q (1 Viewer)

Joined
Jun 24, 2023
Messages
92
Gender
Male
HSC
2023
1693372195160.png

1693372210105.png

Can someone please explain this question to me. I don't understand line two of the solution, in particular.
 

ZakaryJayNicholls

Active Member
Joined
Oct 19, 2022
Messages
124
Gender
Male
HSC
2010
Uni Grad
2018
Quickly skimming over this:

We know that w is formed by starting at the origin then moving v, then moving from v and going to w: w = OV + VW
The same logic works for s, we start at the origin and move to v, then we move from v to s: s = OV + VS

Given that |OV| = L1*|VS| where L is some constant it is true that |VS|=L2*|OV| where L2 is some other constant.
Thus: s = OV + VS = OV + L2*OV = (1+L2)*OV

The question states |OV| = Lambda*|VS|, but I think it should have said Lambda*|OV| = |VS|. But I could be wrong.
 
Last edited:

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top