1
JEE Main 2019 (Online) 10th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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 the face BEFO will be -

JEE Main 2019 (Online) 10th January Morning Slot Physics - Vector Algebra Question 31 English
A
$${1 \over 2}a\left( {\widehat k - \widehat i} \right)$$
B
$${1 \over 2}a\left( {\widehat j - \widehat i} \right)$$
C
$${1 \over 2}a\left( {\widehat j - \widehat k} \right)$$
D
$${1 \over 2}a\left( {\widehat i - \widehat k} \right)$$
2
JEE Main 2018 (Online) 16th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$\overrightarrow A $$ = $$\left( {\widehat i + \widehat j} \right)$$ and, $$\overrightarrow B = \left( {2\widehat i - \widehat j} \right).$$ The magnitude of a coplanar vector $$\overrightarrow C $$ such that $$\overrightarrow A .\overrightarrow C = \overrightarrow B .\overrightarrow C = \overrightarrow A .\overrightarrow B ,$$ is given by :
A
$$\sqrt {{{10} \over 9}} $$
B
$$\sqrt {{{5} \over 9}} $$
C
$$\sqrt {{{20} \over 9}} $$
D
$$\sqrt {{{9} \over 12}} $$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
If $$\overrightarrow A \times \overrightarrow B = \overrightarrow B \times \overrightarrow A $$, then the angle beetween A and B is
A
$${\pi \over 2}$$
B
$${\pi \over 3}$$
C
$$\pi $$
D
$${\pi \over 4}$$
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