1

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 :-

2

JEE Main 2021 (Online) 27th August Morning Shift

MCQ (Single Correct Answer)

+4

-1

The resultant of these forces $$\overrightarrow {OP} ,\overrightarrow {OQ} ,\overrightarrow {OR} ,\overrightarrow {OS} $$ and $$\overrightarrow {OT} $$ is approximately .......... N.

[Take $$\sqrt 3 = 1.7$$, $$\sqrt 2 = 1.4$$ Given $$\widehat i$$ and $$\widehat j$$ unit vectors along x, y axis]

[Take $$\sqrt 3 = 1.7$$, $$\sqrt 2 = 1.4$$ Given $$\widehat i$$ and $$\widehat j$$ unit vectors along x, y axis]

3

JEE Main 2021 (Online) 26th August Evening Shift

MCQ (Single Correct Answer)

+4

-1

The angle between vector $$\left( {\overrightarrow A } \right)$$ and $$\left( {\overrightarrow A - \overrightarrow B } \right)$$ is :

4

JEE Main 2021 (Online) 26th August Morning Shift

MCQ (Single Correct Answer)

+4

-1

The magnitude of vectors $$\overrightarrow {OA} $$, $$\overrightarrow {OB} $$ and $$\overrightarrow {OC} $$ in the given figure are equal. The direction of $$\overrightarrow {OA} $$ + $$\overrightarrow {OB} $$ $$-$$ $$\overrightarrow {OC} $$ with x-axis will be :

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

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