Vector Algebra - Mechanics - Physics Previous Year Questions

A particle starts moving from point (2, 10, 1). Displacement for the particle is \(8\widehat i - 2\widehat j + \widehat k\). The final coordinates of the particle is

The resultant of two forces acting at an angle of 120\(^\circ\) is 10 kg-W and is perpendicular to one of the forces. That force is

If \(\alpha, \beta\) and \(\gamma\) are the angles between the vectors \(\overrightarrow{\mathrm{P}}, \overrightarrow{\mathrm{Q}}\), and \(\overrightarrow{\mathrm{R}}\) and \(\alpha=90^{\circ}\) as shown in figure. the product of \((\vec{Q} \times \vec{R}) \cdot \vec{Q}\) is equal to

The sides of a parallelogram are represented by vectors \(\vec{p}=5 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) and \(\vec{q}=3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}\). Then, the area of the parallelogram is

Forces A and B act at a point. The sum of their magnitudes is 50 N and the magnitude of their resultant is 20 N . If the resultant is at $90^{\circ}$ with the smaller force, the magnitudes of A and B , in N are

Which of the following statements is/are true?

(A) Three vectors not lying in a plane give zero resultant

(B) Three vectors lying in a plane can give zero resultant

(C) Two vectors of different magnitude can be combined to give a zero resultant