List of top Physics Questions on Vectors asked in AP EAPCET

A vector perpendicular to the vector $\left(4\hat{i} - 3\hat{j}\right)$ is
Three vectors each of magnitude $3\sqrt{1.5}$ units are acting at a point. If the angle between any two vectors is $\frac{\pi}{3}$, then the magnitude of the resultant vector of the three vectors is
The magnitudes of two vectors are A and B (A>B). If the maximum resultant magnitude of the two vectors is ‘n’ times their minimum resultant magnitude, then \(\frac{A}{B} =\)
If \[ | \vec{P} + \vec{Q} | = | \vec{P} | = | \vec{Q} |, \] then the angle between \( \vec{P} \) and \( \vec{Q} \) is:
The resultant of two vectors \( \mathbf{A} \) and \( \mathbf{B} \) is perpendicular to vector \( \mathbf{A} \), and the resultant magnitude is equal to half of the magnitude of \( \mathbf{B} \). The angle between \( \mathbf{A} \) and \( \mathbf{B} \) is:
If the angle between two unit vectors $ \vec{A} $ and $ \vec{B} $ is $ \theta $, then \[ |\vec{A} + \vec{B}| = \]
Which of the following statements is true regarding the vector product of two vectors?
The angle between two vectors $\vec{i} + \vec{j}$ and $\vec{j} + \vec{k}$ is
The sum of the magnitudes of two vectors acting at a point is 18 and the magnitude of their resultant is 12. If the resultant is at \( 90^\circ \) with the vector of smaller magnitude, then the magnitudes of the vectors are
Two vectors of same magnitude act at a point. Twice the product of the magnitudes of two vectors is equal to the square of the magnitude of their resultant. The angle between the two vectors is:
The resultant magnitude of two vectors of same magnitude is equal to magnitude of either. The angle between the two vectors is
The vector form of the universal law of gravitation:
For two vectors $ \mathbf{A} $ and $ \mathbf{B} $, if $ \mathbf{A} + \mathbf{B} = |\mathbf{A} - \mathbf{B}| $, then
Two position vectors are given by \[ \vec{r}_1=(1,1,1) \] and \[ \vec{r}_2=(1,-1,1) \] The unit vector in the direction of \[ \vec{r}_1\times \vec{r}_2 \] is
If two vectors \(\vec{A}\) and \(\vec{B}\) are mutually perpendicular, then the component of \(\vec{A}-\vec{B}\) along the direction of \(\vec{A}+\vec{B}\) is:
The component of a vector \[ \vec{P}=3\hat{i}+4\hat{j} \] along the direction \[ \hat{i}+2\hat{j} \] is
The dot product of \((\mathbf{i}+\mathbf{j}+\mathbf{k})\) and the unit vector parallel to \((i-j+k) is:
A vector \(\vec{P}\) directed along the \(x\)-axis is added to vector \(\vec{Q}\) which has a magnitude of \(10\,\text{m}\). The resultant vector is directed along the \(y\)-axis, with a magnitude that is \(2\) times that of \(\vec{P}\). The magnitude of \(\vec{P}\) is
The component of a vector $ \vec{P} = 3\hat{i} + 4\hat{j} $ along the direction $ \hat{i} + 2\hat{j} $ is
If two vectors $ \vec{A} $ and $ \vec{B} $ are mutually perpendicular, then the component of $ \vec{A} \cdot \vec{B} $ along the direction of $ \vec{A} + \vec{B} $ is
The dot product of unit vectors $\hat{n}_1$ and $\hat{n}_2$ that are parallel to $5\hat{i} + 12\hat{j}$ and $3\hat{i} + 4\hat{j}$ respectively is