ASSIGNMENT 05
Due date: Tuesday, 10 September 2024
Total Marks: 100
ONLY FOR YEAR MODULE
This assignment cover chapter 3 of the prescribed book as well as the study guide,
it is specifically based on Study Units 3.1, 3.2, & 3.3 of Chapter 3 of HC
Question 1: 12 Marks
(1.1) Let U and V be the planes given by:
U : λx + 5y − 2λz − 3 = 0,
V : −λx + y + 2z + 1 = 0.
Determine for which value(s) of λ the planes U and V are:
(a) orthogonal,
1.1) The given two planes are :
U:Ax +5y 2 -3 =0 (1)
V. Ax+y+2z+1=0 (2)
The planes (1) and (2) are orthogonal to each other
Then A(-)) +5x1 +(--2)x2=0
So, -)45 4 =0
0r, (A +5)0 -1) =0=A=5,1
Therefore, The value of A are 5, I respectively.
Explanation:
lfagx + by + cz +do and ax +by + cz +d = 0are perpendicular then apa +- bb + cc =0
Due date: Tuesday, 10 September 2024
Total Marks: 100
ONLY FOR YEAR MODULE
This assignment cover chapter 3 of the prescribed book as well as the study guide,
it is specifically based on Study Units 3.1, 3.2, & 3.3 of Chapter 3 of HC
Question 1: 12 Marks
(1.1) Let U and V be the planes given by:
U : λx + 5y − 2λz − 3 = 0,
V : −λx + y + 2z + 1 = 0.
Determine for which value(s) of λ the planes U and V are:
(a) orthogonal,
1.1) The given two planes are :
U:Ax +5y 2 -3 =0 (1)
V. Ax+y+2z+1=0 (2)
The planes (1) and (2) are orthogonal to each other
Then A(-)) +5x1 +(--2)x2=0
So, -)45 4 =0
0r, (A +5)0 -1) =0=A=5,1
Therefore, The value of A are 5, I respectively.
Explanation:
lfagx + by + cz +do and ax +by + cz +d = 0are perpendicular then apa +- bb + cc =0
