1
JEE Main 2022 (Online) 28th July Morning Shift
Numerical
+4
-1

If the projection of $$2 \hat{i}+4 \hat{j}-2 \hat{k}$$ on $$\hat{i}+2 \hat{j}+\alpha \hat{k}$$ is zero. Then, the value of $$\alpha$$ will be ___________.

2
JEE Main 2022 (Online) 26th July Evening Shift
Numerical
+4
-1

If $$\vec{A}=(2 \hat{i}+3 \hat{j}-\hat{k})\, \mathrm{m}$$ and $$\vec{B}=(\hat{i}+2 \hat{j}+2 \hat{k}) \,\mathrm{m}$$. The magnitude of component of vector $$\vec{A}$$ along vector $$\vec{B}$$ will be ____________ $$\mathrm{m}$$.

3
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 ___________$$^\circ$$.
4
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 , ..............