1
IAT (IISER) 2022
MCQ (Single Correct Answer)
+4
-1
Let $S$ be the set of all unit vectors in the $X Y$-plane. Then the set $S$ has
A
8 elements
B
2 elements
C
4 elements
D
Infinitely many elements
2
IAT (IISER) 2022
MCQ (Single Correct Answer)
+4
-1
Consider the vectors $\vec{a}=\hat{\imath}+x \hat{\jmath}+2 \hat{k}, \vec{b}=\hat{\imath}+2 \hat{\jmath}+x \hat{k}, \vec{c}=2 \hat{\imath}+\hat{\jmath}+3 \hat{k}$. The values of $x$ for Which there is at least one nonzero vector perpendicular to the vectors $\vec{a}, \vec{b}$ and $\vec{c}$ are
A
0,2
B
$-2,2$
C
$7 / 2,0$
D
$4,-2$
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