Maths-

General

Easy

Question

# If and then

## The correct answer is:

### Related Questions to study

Maths-

### Assertion : For the volume of the parallel piped formed by vectors and is maximum (The vectors form a right-handed system)

Reason: The volume of the parallel piped having three coterminous edges and

For such questions, we should know the formula of a parallelepiped. We should also know how to take a scalar product.

### Assertion : For the volume of the parallel piped formed by vectors and is maximum (The vectors form a right-handed system)

Reason: The volume of the parallel piped having three coterminous edges and

Maths-General

For such questions, we should know the formula of a parallelepiped. We should also know how to take a scalar product.

Maths-

### Assertion (A): Let . If such that is collinear with and is perpendicular to is possible, then .

Reason (R): If and are non-zero, non-collinear vectors, then can be expressed as where is collinear with and is perpendicular to

### Assertion (A): Let . If such that is collinear with and is perpendicular to is possible, then .

Reason (R): If and are non-zero, non-collinear vectors, then can be expressed as where is collinear with and is perpendicular to

Maths-General

Maths-

### Statement If are distinct non-negative numbers and the vectors â and are coplanar then is arithmetic mean of and .

Statement -2: Parallel vectors have proportional direction ratios.

### Statement If are distinct non-negative numbers and the vectors â and are coplanar then is arithmetic mean of and .

Statement -2: Parallel vectors have proportional direction ratios.

Maths-General

Maths-

### If and is a vector satisfying .

Assertion can be expressed in terms of and .

Reason

### If and is a vector satisfying .

Assertion can be expressed in terms of and .

Reason

Maths-General

Maths-

### If are non-zero vectors such that then

Assertion : Least value of is

Reason (R): The expression is least when magnitude of is

### If are non-zero vectors such that then

Assertion : Least value of is

Reason (R): The expression is least when magnitude of is

Maths-General

Maths-

### Statement- 1: If and and , then there exist real numbers , such that

Statement- 2: are four vectors in a 3 - dimensional space. If are non-coplanar, then there exist real numbers such that

### Statement- 1: If and and , then there exist real numbers , such that

Statement- 2: are four vectors in a 3 - dimensional space. If are non-coplanar, then there exist real numbers such that

Maths-General

Maths-

### Statement- :If are non-collinear points. Then every point in the plane of , can be expressed in the form

Statement- :The condition for coplanarity of four points is that there exists scalars not all zeros such that where .

### Statement- :If are non-collinear points. Then every point in the plane of , can be expressed in the form

Statement- :The condition for coplanarity of four points is that there exists scalars not all zeros such that where .

Maths-General

Maths-

### Assertion (A): The number of vectors of unit length and perpendicular to both the vectors. and is zero Reason

(R): and are two non-zero and non-parallel vectors it is true that is perpendicular to the plane containing and

### Assertion (A): The number of vectors of unit length and perpendicular to both the vectors. and is zero Reason

(R): and are two non-zero and non-parallel vectors it is true that is perpendicular to the plane containing and

Maths-General

Maths-

### The value of for which the straight lines and are coplanar is

For such questions, we should know the condition for two lines to be coplanar. We should also know about the scalar triple product.

### The value of for which the straight lines and are coplanar is

Maths-General

For such questions, we should know the condition for two lines to be coplanar. We should also know about the scalar triple product.

Maths-

### The position vector of the centre of the circle

### The position vector of the centre of the circle

Maths-General

Maths-

### Let where are three noncoplanar vectors. If is perpendicular to , then minimum value of

### Let where are three noncoplanar vectors. If is perpendicular to , then minimum value of

Maths-General

Chemistry-

### Which of the following represents Westrosol?

### Which of the following represents Westrosol?

Chemistry-General

Chemistry-

### Which of the following sequences would yield -nitro chlorobenzene (Z) from benzene?

### Which of the following sequences would yield -nitro chlorobenzene (Z) from benzene?

Chemistry-General

Chemistry-

### For the preparation of chloroethane

### For the preparation of chloroethane

Chemistry-General

Chemistry-

### Which of the following statements is wrong about the reaction?

### Which of the following statements is wrong about the reaction?

Chemistry-General