NEET UG PHYSICS MCQ: MOTION IN PLANE

1 Hard

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Analyzing +4 | -1

\mathbf{a}, \mathbf{b}

and

\mathbf{c}

are non-coplanar vectors and

\lambda

is a real number, then the vector

a+2 b+3 c

\lambda \mathbf{b}+4 \mathbf{c}

and

(2 \lambda-1) \mathbf{c}

are non-coplanar for

View answer and explanation

Correct option: C

all except two values of

\lambda

Option C (all except two values of

\lambda

) is correct because the vectors are non-coplanar if their scalar triple product is non-zero, which leads to a quadratic equation in

\lambda

having two roots.

More Questions from MOTION IN PLANE

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\mathrm{\vec a}\,and\,\mathrm{\vec b}

\mathrm{\vec a}\,and\,\mathrm{\vec b}

\overrightarrow P \,\,.\,\,\overrightarrow Q = 0\,and\,\overrightarrow P \,\, \times \,\,\overrightarrow Q = 0

\overrightarrow Q \,and\,\overrightarrow R

\vec{A}=3 \hat{i}+4 \hat{j}

\vec{B}=6 \hat{i}+8 \hat{j}

A

B

\overrightarrow{\mathrm{A}}

\overrightarrow{\mathrm{B}}

{\cot ^{ - 1}}\left( 2 \right)