QBManager

VECTORS

268937 Three vectors satisfy the relation $\vec{A} \cdot \vec{B} = 0$ and $\vec{A} \cdot \vec{C} = 0$ , then $\vec{A}$ is parallel to

1

\vec{C}

2

\vec{B}

3

\vec{B} \times \vec{C}

4

\vec{B} \cdot \vec{C}

VECTORS

268938 Let $\vec{F}$ be the force acting on a particle having position vector $\vec{r}$ and $\vec{τ}$ be the torque of this foce about the origin. Then (AIEEE-2003)

1

\vec{r} \cdot \vec{F} = 0

and

\vec{r} \cdot \vec{τ} \neq 0

2

\vec{r} \cdot \vec{τ} \neq 0

and

\vec{F} \cdot \vec{τ} = 0

3

\vec{r} \cdot \vec{τ} \neq 0

and

\vec{F} \cdot \vec{τ} \neq 0

4

\vec{r} \cdot \vec{τ} = 0

and

\vec{F} \cdot \vec{τ} = 0

VECTORS

268939 $(\vec{A} \times \vec{B}) + (\vec{B} \times \vec{A})$ is equal to

1

2 AB

2

A^{2} B^{2}

3 zero

4 null vector

VECTORS

268940 If $\vec{C} = \vec{A} \times \vec{B}$ , then $\vec{C}$ is

1 parallel to

\vec{A}

2 parallel to

\vec{B}

3 perpendicular to

\vec{A}

and parallel to

\vec{B}

4 perpendicular to both

\vec{A}

and

\vec{B}

VECTORS

268937 Three vectors satisfy the relation $\vec{A} \cdot \vec{B} = 0$ and $\vec{A} \cdot \vec{C} = 0$ , then $\vec{A}$ is parallel to

1

\vec{C}

2

\vec{B}

3

\vec{B} \times \vec{C}

4

\vec{B} \cdot \vec{C}

VECTORS

268938 Let $\vec{F}$ be the force acting on a particle having position vector $\vec{r}$ and $\vec{τ}$ be the torque of this foce about the origin. Then (AIEEE-2003)

1

\vec{r} \cdot \vec{F} = 0

and

\vec{r} \cdot \vec{τ} \neq 0

2

\vec{r} \cdot \vec{τ} \neq 0

and

\vec{F} \cdot \vec{τ} = 0

3

\vec{r} \cdot \vec{τ} \neq 0

and

\vec{F} \cdot \vec{τ} \neq 0

4

\vec{r} \cdot \vec{τ} = 0

and

\vec{F} \cdot \vec{τ} = 0

VECTORS

268939 $(\vec{A} \times \vec{B}) + (\vec{B} \times \vec{A})$ is equal to

1

2 AB

2

A^{2} B^{2}

3 zero

4 null vector

VECTORS

268940 If $\vec{C} = \vec{A} \times \vec{B}$ , then $\vec{C}$ is

1 parallel to

\vec{A}

2 parallel to

\vec{B}

3 perpendicular to

\vec{A}

and parallel to

\vec{B}

4 perpendicular to both

\vec{A}

and

\vec{B}

VECTORS

268937 Three vectors satisfy the relation $\vec{A} \cdot \vec{B} = 0$ and $\vec{A} \cdot \vec{C} = 0$ , then $\vec{A}$ is parallel to

1

\vec{C}

2

\vec{B}

3

\vec{B} \times \vec{C}

4

\vec{B} \cdot \vec{C}

VECTORS

268938 Let $\vec{F}$ be the force acting on a particle having position vector $\vec{r}$ and $\vec{τ}$ be the torque of this foce about the origin. Then (AIEEE-2003)

1

\vec{r} \cdot \vec{F} = 0

and

\vec{r} \cdot \vec{τ} \neq 0

2

\vec{r} \cdot \vec{τ} \neq 0

and

\vec{F} \cdot \vec{τ} = 0

3

\vec{r} \cdot \vec{τ} \neq 0

and

\vec{F} \cdot \vec{τ} \neq 0

4

\vec{r} \cdot \vec{τ} = 0

and

\vec{F} \cdot \vec{τ} = 0

VECTORS

268939 $(\vec{A} \times \vec{B}) + (\vec{B} \times \vec{A})$ is equal to

1

2 AB

2

A^{2} B^{2}

3 zero

4 null vector

VECTORS

268940 If $\vec{C} = \vec{A} \times \vec{B}$ , then $\vec{C}$ is

1 parallel to

\vec{A}

2 parallel to

\vec{B}

3 perpendicular to

\vec{A}

and parallel to

\vec{B}

4 perpendicular to both

\vec{A}

and

\vec{B}

VECTORS

268937 Three vectors satisfy the relation $\vec{A} \cdot \vec{B} = 0$ and $\vec{A} \cdot \vec{C} = 0$ , then $\vec{A}$ is parallel to

1

\vec{C}

2

\vec{B}

3

\vec{B} \times \vec{C}

4

\vec{B} \cdot \vec{C}

VECTORS

268938 Let $\vec{F}$ be the force acting on a particle having position vector $\vec{r}$ and $\vec{τ}$ be the torque of this foce about the origin. Then (AIEEE-2003)

1

\vec{r} \cdot \vec{F} = 0

and

\vec{r} \cdot \vec{τ} \neq 0

2

\vec{r} \cdot \vec{τ} \neq 0

and

\vec{F} \cdot \vec{τ} = 0

3

\vec{r} \cdot \vec{τ} \neq 0

and

\vec{F} \cdot \vec{τ} \neq 0

4

\vec{r} \cdot \vec{τ} = 0

and

\vec{F} \cdot \vec{τ} = 0

VECTORS

268939 $(\vec{A} \times \vec{B}) + (\vec{B} \times \vec{A})$ is equal to

1

2 AB

2

A^{2} B^{2}

3 zero

4 null vector

VECTORS

268940 If $\vec{C} = \vec{A} \times \vec{B}$ , then $\vec{C}$ is

1 parallel to

\vec{A}

2 parallel to

\vec{B}

3 perpendicular to

\vec{A}

and parallel to

\vec{B}

4 perpendicular to both

\vec{A}

and

\vec{B}

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