No. of Questions: 28 Date: July 14, 2025
1.
The value of the sum of two vectors $\vec{A}$ and $\vec{B}$ with $\theta$as the angle between them is
2.
If $|\vec{a}-\vec{b}| = |\vec{a}|=|\vec{b}|$, the angle between vector A and vector B is
3.
If the sum of two unit vectors is a unit vector, then magnitude of difference is
4.
For the resultant of the two vectors to be maximum, what must be the angle between them
6.
For the resultant of the two vectors to be minimum, what must be the angle between them
7.
If $\vec{A}+\vec{B}=\vec{C}$ and $A^2+B^2=C^2$, then the angle between $\vec{A}$ and $\vec{B}$ is
8.
Which of the following statement is false
9.
If two vectors $\vec{A}$ and $\vec{B}$ with $\theta$ as the angle between them, then $|\vec{A}-\vec{B}|$ equal to
10.
If the magnitude of sum and difference of two vectors is the same, the angle between them is
11.
Forces $F_1$ and $F_2$ act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be
12.
Following sets of three forces act on a body. Whose resultant cannot be zero
13.
When three forces of 50 N, 30 N and 15 N act on a body, then the body is
14.
Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are in the ratio 3 : 1. Which of the following relations is true
15.
Three concurrent forces of the same magnitude are in equilibrium. What is the angle between the forces ? Also name the triangle formed by the forces as side
16.
If $|\vec{A}+\vec{B}| = |\vec{A}|+|\vec{B}|$, then angle between vector A and vector B will be
17.
Two vectors $\vec{A}$ and $\vec{B}$ are such that $\vec{A}+\vec{B}=\vec{A}-\vec{B}$. Then
18.
If vectors P, Q and R have magnitude 5, 12 and 13 units and $\vec{P}+\vec{Q}=\vec{R}$, the angle between Q and R is
19.
If a body is in equilibrium under a set of non-collinear forces, then the minimum number of forces has to be
20.
How many minimum number of non-zero vectors in different planes can be added to give zero resultant
21.
Read the assertion and reason carefully to mark the correct option out of the options given below:
Assertion (A): Vector addition of two vectors $\vec{A}$ & $\vec{B}$ is commutative.Reason (R): $\vec{A}+\vec{B}=\vec{B}+\vec{A}$
22.
Read the assertion and reason carefully to mark the correct option out of the options given below:
Assertion (A): If $|\vec{A}+\vec{B}|=|\vec{A}-\vec{B}|$, then angle between vectors A and B is 90°Reason (R): $\vec{A}+\vec{B}=\vec{B}+\vec{A}$
23.
Read the assertion and reason carefully to mark the correct option out of the options given below:
Assertion (A): The minimum number of non coplanar vectors whose sum can be zero, is four. Reason (R): The resultant of two vectors of unequal magnitude can be zero
24.
If magnitude of vectors A, B and C are 12, 5 and 13 unit and $\vec{A}+\vec{B}=\vec{C}$, then angle between vectors A and B will be
25.
If $\vec{A}+\vec{B}=\vec{C}$ and $A+B=C$, then the angle between $\vec{A}$ and $\vec{B}$ is
26.
If $|\vec{A}|=3$, $|\vec{B}|=4$ and $\vec{A}+\vec{B}=\vec{C}$, then $|\vec{C}|_{max}$ and $|\vec{C}|_{min}$ will be respectively
27.
Which of the following relation is wrong
28.
If $\vec{a}+\vec{b}=\vec{c}$ and $|\vec{a}|=|\vec{b}|=|\vec{c}|$, the angle between vector A and vector B is
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