1
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

$$\overrightarrow A $$ is a vector quantity such that $$|\overrightarrow A |$$ = non-zero constant. Which of the following expression is true for $$\overrightarrow A $$ ?

A
$$\overrightarrow A \,.\,\overrightarrow A = 0$$
B
$$\overrightarrow A \times \overrightarrow A < 0$$
C
$$\overrightarrow A \times \overrightarrow A = 0$$
D
$$\overrightarrow A \times \overrightarrow A > 0$$
2
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Which of the following relations is true for two unit vector $$\widehat A$$ and $$\widehat B$$ making an angle $$\theta$$ to each other?

A
$$|\widehat A + \widehat B| = |\widehat A - \widehat B|\tan {\theta \over 2}$$
B
$$|\widehat A - \widehat B| = |\widehat A + \widehat B|\tan {\theta \over 2}$$
C
$$|\widehat A + \widehat B| = |\widehat A - \widehat B|cos{\theta \over 2}$$
D
$$|\widehat A - \widehat B| = |\widehat A + \widehat B|\cos {\theta \over 2}$$
3
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If force $$\overrightarrow F = 3\widehat i + 4\widehat j - 2\widehat k$$ acts on a particle position vector $$2\widehat i + \widehat j + 2\widehat k$$ then, the torque about the origin will be :

A
$$3\widehat i + 4\widehat j - 2\widehat k$$
B
$$ - 10\widehat i + 10\widehat j + 5\widehat k$$
C
$$10\widehat i + 5\widehat j - 10\widehat k$$
D
$$10\widehat i + \widehat j - 5\widehat k$$
4
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be : (Given g = acceleration due to gravity at the surface of earth).

A
g/2
B
g/4
C
g/3
D
g/9
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