Let \\alpha \in R and the three vectors \overrightarrow{a}=\\alpha \stackrel{\^}{i}+ \stackrel{\^}{j}+3 \stackrel{\^}{k},\overrightarrow{b}=2 \stackrel{\^}{i}+ \stackrel{\^}{j}-\\alpha\stackrel{\^}{k} and \overrightarrow{c}=\\alpha \stackrel{\^}{i}-2 \stackrel{\^}{j}+3\stackrel{\^}{k}. Then the set S=\\overrightarrow{\\alpha : {a}, \overrightarrow{b} and \overrightarrow{c} are coplanar \} [12 Apr 2019 Shift 2]

contains exactly two positive numbers

contains exactly two numbers only one of which is positive

JEE Main 12 Apr 2019 Paper 2 Solved Paper

Section: Mathematics

Question : 66 of 90

Marks: +1, -0

Let α∈R and the three vectors

→

=α

→

−α

and

→

=α

−2

. Then the set S={α:

→

and

→

are coplanar }

[12 Apr 2019 Shift 2]

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