1

JEE Main 2022 (Online) 29th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ have equal magnitudes. If magnitude of $$\overrightarrow A $$ + $$\overrightarrow B $$ is equal to two times the magnitude of $$\overrightarrow A $$ $$-$$ $$\overrightarrow B $$, then the angle between $$\overrightarrow A $$ and $$\overrightarrow B $$ will be :

2

JEE Main 2022 (Online) 25th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

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

3

JEE Main 2022 (Online) 25th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

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

4

JEE Main 2021 (Online) 31st August Evening Shift

MCQ (Single Correct Answer)

+4

-1

Statement I :

Two forces $$\left( {\overrightarrow P + \overrightarrow Q } \right)$$ and $$\left( {\overrightarrow P - \overrightarrow Q } \right)$$ where $$\overrightarrow P \bot \overrightarrow Q $$, when act at an angle $$\theta$$

Statement II :

In the situation given above.

$$\theta$$

In the light of the above statements, choose the most appropriate answer from the options given below :-

Two forces $$\left( {\overrightarrow P + \overrightarrow Q } \right)$$ and $$\left( {\overrightarrow P - \overrightarrow Q } \right)$$ where $$\overrightarrow P \bot \overrightarrow Q $$, when act at an angle $$\theta$$

_{1}to each other, the magnitude of their resultant is $$\sqrt {3({P^2} + {Q^2})} $$, when they act at an angle $$\theta$$_{2}, the magnitude of their resultant becomes $$\sqrt {2({P^2} + {Q^2})} $$. This is possible only when $${\theta _1} < {\theta _2}$$.Statement II :

In the situation given above.

$$\theta$$

_{1}= 60$$^\circ$$ and $$\theta$$_{2}= 90$$^\circ$$In the light of the above statements, choose the most appropriate answer from the options given below :-

Questions Asked from Vector Algebra (MCQ (Single Correct Answer))

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