Maths-
General
Easy
Question
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
- Both are true is reason for
- Both are true & but is not reason for .
- Both are false
- is true, is false
The correct answer is: Both are true & but is not reason for .
Related Questions to study
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
Chemistry-
In the following reaction, the final product can be prepared by two paths (I) and (II).
Which of the following statements is correct?
In the following reaction, the final product can be prepared by two paths (I) and (II).
Which of the following statements is correct?
Chemistry-General
Chemistry-
The final product (X) in the following reaction is:
The final product (X) in the following reaction is:
Chemistry-General
Chemistry-
Ethylmercaptan is prepared by the reaction of the following, followed by hydrolysis
Ethylmercaptan is prepared by the reaction of the following, followed by hydrolysis
Chemistry-General
Maths-
Two adjacent sides of a parallelogram are given by and . The side is rotated by an acute angle in the plane of parallelogram so that becomes AD’. If makes a right angle with the side AB then the cosine of angle is given by
Two adjacent sides of a parallelogram are given by and . The side is rotated by an acute angle in the plane of parallelogram so that becomes AD’. If makes a right angle with the side AB then the cosine of angle is given by
Maths-General
Maths-
If then
If then
Maths-General
Maths-
If are non coplanar vectors then the roots of equation
If are non coplanar vectors then the roots of equation
Maths-General