1
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Three particles P, Q and R are moving along the vectors $$\overrightarrow A = \widehat i + \widehat j$$, $$\overrightarrow B = \widehat j + \widehat k$$ and $$\overrightarrow C = - \widehat i + \widehat j$$ respectively. They strike on a point and start to move in different directions. Now particle P is moving normal to the plane which contains vector $$\overrightarrow A$$ and $$\overrightarrow B$$. Similarly particle Q is moving normal to the plane which contains vector $$\overrightarrow A$$ and $$\overrightarrow C$$. The angle between the direction of motion of P and Q is $${\cos ^{ - 1}}\left( {{1 \over {\sqrt x }}} \right)$$. Then the value of x is _______________.
2
JEE Main 2021 (Online) 25th February Evening Shift
Numerical
+4
-1
If $$\overrightarrow P \times \overrightarrow Q = \overrightarrow Q \times \overrightarrow P$$, the angle between $$\overrightarrow P$$ and $$\overrightarrow Q$$ is $$\theta$$(0$$^\circ$$ < $$\theta$$ < 360$$^\circ$$). The value of '$$\theta$$' will be ___________$$^\circ$$.
3
JEE Main 2020 (Online) 7th January Evening Slot
Numerical
+4
-0
The sum of two forces $$\overrightarrow P$$ and $$\overrightarrow Q$$ is $$\overrightarrow R$$ such that $$\left| {\overrightarrow R } \right| = \left| {\overrightarrow P } \right|$$ . The angle $$\theta$$ (in degrees) that the resultant of 2$${\overrightarrow P }$$ and $${\overrightarrow Q }$$ will make with $${\overrightarrow Q }$$ is , ..............