Vector Algebra - Physics PYQ (Mechanics)

One of the rectangular components of a force of 40 N is 20\(\sqrt3\) N. What is the other rectangular component?

Which of the following is not true about vectors \(\mathbf{A}, \mathbf{B}\) and \(\mathbf{C}\) ?

The component of a vector \(\mathbf{P}=3 \hat{i}+4 \hat{j}\) along the direction \((\hat{i}+2 \hat{j})\) is

If two vectors \(\mathbf{A}\) and \(\mathbf{B}\) are mutually perpendicular, then the component of \(\mathbf{A}-\mathbf{B}\) along the direction of \(\mathbf{A}+\mathbf{B}\) is

If the magnitude of a vector $\mathbf{P}$ is 25 units and its $y$-component is 7 units, then its $x$-component 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 $\alpha, \beta$ and $\gamma$ are the angles made by a vector with $x, y$ and $z$ axes respectively, then $\sin ^2 \alpha+\sin ^2 \beta=$

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 vector is

A vector perpendicular to the vector $(4 \hat{\mathbf{i}}-3 \hat{\mathbf{j}})$ is

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

Two forces whose magnitudes are in the ratio $5: 3$ are acting at a point at angle $60^{\circ}$ simultaneously. If the resultant of the two forces is 35 N , then the magnitudes of two forces respectively are