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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 ...
JEE Main 2022 (Online) 28th July Morning Shift
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If $$\vec{A}=(2 \hat{i}+3 \hat{j}-\hat{k})\, \mathrm{m}$$ and $$\vec{B}=(\hat{i}+2 \hat{j}+2 \hat{k}) \,\mathrm{m}$$. Th...
JEE Main 2022 (Online) 26th July Evening Shift
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If $$\overrightarrow P \times \overrightarrow Q = \overrightarrow Q \times \overrightarrow P $$, the angle between $$...
JEE Main 2021 (Online) 25th February Evening Shift
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The sum of two forces $$\overrightarrow P $$ and $$\overrightarrow Q $$ is $$\overrightarrow R $$ such that $$\left| ...
JEE Main 2020 (Online) 7th January Evening Slot
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Which of the following relations is true for two unit vector $$\widehat A$$ and $$\widehat B$$ making an angle $$\theta$...
JEE Main 2022 (Online) 25th June Morning Shift
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$$\overrightarrow A $$ is a vector quantity such that $$|\overrightarrow A |$$ = non-zero constant. Which of the followi...
JEE Main 2022 (Online) 25th June Morning Shift
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Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ have equal magnitudes. If magnitude of $$\overrightarrow A...
JEE Main 2022 (Online) 29th June Morning Shift
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Statement I :Two forces $$\left( {\overrightarrow P + \overrightarrow Q } \right)$$ and $$\left( {\overrightarrow P - ...
JEE Main 2021 (Online) 31st August Evening Shift
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The resultant of these forces $$\overrightarrow {OP} ,\overrightarrow {OQ} ,\overrightarrow {OR} ,\overrightarrow {OS} $...
JEE Main 2021 (Online) 27th August Morning Shift
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The angle between vector $$\left( {\overrightarrow A } \right)$$ and $$\left( {\overrightarrow A - \overrightarrow B } ...
JEE Main 2021 (Online) 26th August Evening Shift
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The magnitude of vectors $$\overrightarrow {OA} $$, $$\overrightarrow {OB} $$ and $$\overrightarrow {OC} $$ in the given...
JEE Main 2021 (Online) 26th August Morning Shift
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Assertion A : If A, B, C, D are four points on a semi-circular are with centre at 'O' such that $$\left| {\overrightarro...
JEE Main 2021 (Online) 27th July Morning Shift
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Two vectors $$\overrightarrow X $$ and $$\overrightarrow Y $$ have equal magnitude. The magnitude of ($$\overrightarrow ...
JEE Main 2021 (Online) 25th July Evening Shift
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Match List - I with List - IIChoose the correct answer from the options given below :...
JEE Main 2021 (Online) 25th July Morning Shift
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What will be the projection of vector $$\overrightarrow A = \widehat i + \widehat j + \widehat k$$ on vector $$\overrig...
JEE Main 2021 (Online) 22th July Evening Shift
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Two vectors $${\overrightarrow P }$$ and $${\overrightarrow Q }$$ have equal magnitudes. If the magnitude of $${\overrig...
JEE Main 2021 (Online) 20th July Evening Shift
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If $$\overrightarrow A $$ and $$\overrightarrow B $$ are two vectors satisfying the relation $$\overrightarrow A $$ . $$...
JEE Main 2021 (Online) 20th July Morning Shift
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In an octagon ABCDEFGH of equal side, what is the sum of $$\overrightarrow {AB} + \overrightarrow {AC} + \overrightarr...
JEE Main 2021 (Online) 25th February Morning Slot
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Let $$\left| {\mathop {{A_1}}\limits^ \to } \right| = 3$$, $$\left| {\mathop {{A_2}}\limits^ \to } \right| = 5$$ and ...
JEE Main 2019 (Online) 8th April Evening Slot
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Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ have equal magnitudes. The magnitude of $$\left( {\overri...
JEE Main 2019 (Online) 10th January Evening Slot
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In the cube of side ‘a’ shown in the figure, the vector from the central point of the face ABOD to the central point of ...
JEE Main 2019 (Online) 10th January Morning Slot
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Let $$\overrightarrow A $$ = $$\left( {\widehat i + \widehat j} \right)$$ and, $$\overrightarrow B = \left( {2\widehat ...
JEE Main 2018 (Online) 16th April Morning Slot
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If $$\overrightarrow A \times \overrightarrow B = \overrightarrow B \times \overrightarrow A $$, then the angle beetw...
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