Let \overrightarrow{a}=\hat{i}+2 \hat{j}+\hat{k} and \overrightarrow{b}=2 \hat{i}+\hat{j}-\hat{k}. Let \hat{c} be a unit vector in the plane of the vector \overrightarrow{a} and \overrightarrow{b} and be perpendicular to \overrightarrow{a}. Then such a vector \hat{c} is: [8 Apr 2025 Shift 2]

Correct Answer is : 1√2(−∧i+∧k)

{1}/{\sqrt{3}}(\hat{i}-\hat{j}+\hat{k})

{1}/{\sqrt{5}}(\hat{j}-2 \hat{k})

{1}/{\sqrt{2}}(-\hat{i}+\hat{k})

{1}/{\sqrt{3}}(-\hat{i}+\hat{j}-\hat{k})

JEE Main 8 Apr 2025 Shift 2 Paper

Section: Mathematics

Question : 7 of 75

Marks: +1, -0

Let

→

∧

and

→

∧

−

∧

. Let

∧

be a unit vector in the plane of the vector

→

and

→

and be perpendicular to

→

. Then such a vector

∧

is:

[8 Apr 2025 Shift 2]

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