theeetimdoherty
Badges: 15
Rep:
?
#1
Report Thread starter 3 weeks ago
#1
Q) Two sloping roof structures must be constructed at an angle of 60°. The roof structures can be modelled as planes given by the equations
x+2y+2z=5
ax+y+z=2

Find the exact value of a.

I'm not sure how to do this question. I tried using the dot product of the direction vectors (1,2,2) and (a,1,1) but ended up with a polynomial that lacked real roots. Any help would be appreciated
0
reply
old_engineer
Badges: 11
Rep:
?
#2
Report 3 weeks ago
#2
(Original post by theeetimdoherty)
Q) Two sloping roof structures must be constructed at an angle of 60°. The roof structures can be modelled as planes given by the equations
x+2y+2z=5
ax+y+z=2

Find the exact value of a.

I'm not sure how to do this question. I tried using the dot product of the direction vectors (1,2,2) and (a,1,1) but ended up with a polynomial that lacked real roots. Any help would be appreciated
Perhaps post your derivation of the polynomial?
0
reply
skizzle_k
Badges: 6
Rep:
?
#3
Report 3 weeks ago
#3
(Original post by theeetimdoherty)
Q) Two sloping roof structures must be constructed at an angle of 60°. The roof structures can be modelled as planes given by the equations
x+2y+2z=5
ax+y+z=2

Find the exact value of a.

I'm not sure how to do this question. I tried using the dot product of the direction vectors (1,2,2) and (a,1,1) but ended up with a polynomial that lacked real roots. Any help would be appreciated
This question reminds me of matrices and how they can represent planes forming a prism...as they have to be at an angle of 60 degrees
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • Bournemouth University
    Midwifery Open Day at Portsmouth Campus Undergraduate
    Wed, 18 Dec '19
  • The University of Law
    Open Day – GDL and LPC - Chester campus Postgraduate
    Sat, 4 Jan '20
  • University of East Anglia
    Mini Open Day Undergraduate
    Mon, 6 Jan '20

Did you vote in the 2019 general election?

Yes (399)
43.7%
No (94)
10.3%
I'm not old enough (420)
46%

Watched Threads

View All