JEE PHYSICS MCQ: MOTION IN PLANE

1 Hard

1 of 1

Analyzing +4 | -1

A

3 \times 3

matrix and

\mathbf{u}

is a vector. If

A \mathbf{u}

and

\mathbf{u}

are orthogonal for all real

\mathbf{u}

, then matrix

A

a

View answer and explanation

Correct option: A

singular

Option A (singular) is correct because if

A \mathbf{u}

and

\mathbf{u}

are orthogonal for all

\mathbf{u}

, then the determinant of A must be zero, implying A is singular.

More Questions from MOTION IN PLANE

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\mathrm{\vec P} = \mathrm{\vec A} + \mathrm{\vec B}\,\,\mathrm{and}\,P = A + B.

\mathrm{\vec A}\,and\,\mathrm{\vec B}

0^{\circ}

90^{\circ}

\mathrm{If}\,(\mathbf{a}+3 \mathbf{b}) \cdot(7 \mathbf{a}-5 \mathbf{b})=0

(\mathbf{a}-4 \mathbf{b}) \cdot(7 \mathbf{a}-2 \mathbf{b})=0

\mathbf{a}

\mathbf{b}

\theta

\left(90^{\circ}-\theta\right)

39.2 \mathrm{~ms}^{-1}

50 \mathrm{~m}

{g}=9.8 \mathrm{~ms}^{-2}