Let a and b be two unit vectors such that the angle between them is (π)/3. If λ a + 2 b and 3 a - λ b are perpendicular to each other, then the number of values of λ in [-1,3] is:

Vector Algebra: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q35

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumVector Algebra184× since 2002

Let

\vec{a}

and

\vec{b}

be two unit vectors such that the angle between them is

\frac{\pi}{3}

. If

\lambda \vec{a} + 2 \vec{b}

and

3 \vec{a} - \lambda \vec{b}

are perpendicular to each other, then the number of values of

\lambda

[-1,3]

is:

JEE Main 2025 · January, Unspecified (session-level dataset) · Q35

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumVector Algebra184× since 2002

Let

\vec{a}

and

\vec{b}

be two unit vectors such that the angle between them is

\frac{\pi}{3}

. If

\lambda \vec{a} + 2 \vec{b}

and

3 \vec{a} - \lambda \vec{b}

are perpendicular to each other, then the number of values of

\lambda

[-1,3]

is: