>
Exams
>
Mathematics
>
Vector space
>
which one of the following is wrong
Question:
Which one of the following is wrong?
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 21, 2024
The set Z of integers forms a group with respect to the usual addition of integers.
Let G be the set {1, -1}. Then it forms a group under multiplication
Set of all non-zero complex numbers forms a group under multiplication.
The set Q of rational numbers forms a group with respect to the usual multiplication of rational numbers.
Hide Solution
Verified By Collegedunia
The Correct Option is
D
Solution and Explanation
The correct answer is(D): The set Q of rational numbers forms a group with respect to the usual multiplication of rational numbers.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Vector space
In a group G, if a
5
= e, aba
-1
= b
2
for a, b ∈ G then o(b) is equal to:
CUET (PG) - 2023
Mathematics
Vector space
View Solution
If $V_1$ and $V_2$ are the 3-dimensional subspaces of the 4-dimensional vector space, then the smallest possible dimension of $V_1 ∩ V_2$ is
CUET (PG) - 2023
Mathematics
Vector space
View Solution
Let U and W are distinct 4-dimensional subspaces of a vector space V of dimension 6. Consider the following statements:
A. The dimension of U ∩ W is either 2 or 3.
B. The dimension of U + W is either 5 or 6.
C. The dimension of U ∩ W is always greater than 4.
D. The dimension of U + W is always greater than 4.
Choose the correct answer from the options given below:
CUET (PG) - 2023
Mathematics
Vector space
View Solution
If
\(\vec{F} = (x+2y+az)\hat{i} + (bx −3y-z)\hat{j}+(4x+cy+2z)\hat{k}\)
is irrotational, where a, b and c are constant, then a
2
+ b
2
+ c
2
is equal to :
CUET (PG) - 2023
Mathematics
Vector space
View Solution
The directional derivative of Φ(x,y,z) = x
2
yz+4xz
2
at (1, -2, 1) in the direction of
\(2\hat{i}-\hat{j}-2\hat{k}\)
is
CUET (PG) - 2023
Mathematics
Vector space
View Solution
View More Questions
Questions Asked in CUET PG exam
Find out the degree of the differential equation
\(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
CUET (PG) - 2023
Differential Equations
View Solution
The surface area of the sphere x
2
+ y
2
+ z
2
= 9 lying inside the cylinder x
2
+ y
2
= 3y is
CUET (PG) - 2023
Surface Area of Cube, Cuboid and Cylinder
View Solution
The Ombudsman in a newspaper organisation represents the point of view of the ___.
CUET (PG) - 2023
Journalism
View Solution
The orthogonal trajectories of the family of curves y =
\(ax^3\)
is
CUET (PG) - 2023
Curves
View Solution
The minimum distance of the point (3, 4, 12) from the sphere x
2
+ y
2
+ z
2
= 1 is
CUET (PG) - 2023
Coordinate Geometry
View Solution
View More Questions