Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Assuming the plane
4
x
−
3
y
+
7
z
=
0
4x - 3y + 7z = 0
4
x
−
3
y
+
7
z
=
0
to be horizontal, the direction cosines of the line of greatest slope in the plane
2
x
+
y
−
5
z
=
0
2x + y - 5z = 0
2
x
+
y
−
5
z
=
0
are a.
(
3
11
,
−
1
11
,
1
11
)
\left(\frac{3}{\sqrt{11}}, \frac{-1}{\sqrt{11}}, \frac{1}{\sqrt{11}}\right)
(
11
3
,
11
−
1
,
11
1
)
b.
(
3
11
,
1
11
,
−
1
11
)
\left(\frac{3}{\sqrt{11}}, \frac{1}{\sqrt{11}}, \frac{-1}{\sqrt{11}}\right)
(
11
3
,
11
1
,
11
−
1
)
c.
(
−
3
11
,
1
11
,
1
11
)
\left(\frac{-3}{\sqrt{11}}, \frac{1}{\sqrt{11}}, \frac{1}{\sqrt{11}}\right)
(
11
−
3
,
11
1
,
11
1
)
d.
(
1
11
,
3
11
,
−
1
11
)
\left(\frac{1}{\sqrt{11}}, \frac{3}{\sqrt{11}}, \frac{-1}{\sqrt{11}}\right)
(
11
1
,
11
3
,
11
−
1
)
Browse the problem library