if vector a vector b and vector c are mutually perpendicular unit vectors and vector a cross b = vector c.show that vector b =ve

Cross Product or Vector Product of Two Vectors - The vector product of two vectors is written as and is another vector where The magnitude of is defined ..

>Similarly, by referring to the figure belo..

> The first case, that is, multiplication of a vector by a scalar has been dealt with in the section; multiplication of vectors by real numbers. Hence, we move on to the second case, that is, multiplication of two vectors in such a way as to yield a scalar. Such an ope..

A change of position of a particle is called displacement. If a particle moves from a position A to a position B..

Two vectors are said to be equal if they have the same magnitude and direction. In the figure below, three equal vectors have been represented. The equality of vectors is expressed in the following way Since the three vectors have the same directio..

It is also possible to analytically calculate the magnitude and direction of the resultant vector . Let q be the angle between two given vectors . From c, drop a perpendicular CN on OA produced. In the right angled D ANC, Also, ON = OA + AN = P + Q Cos q Cons..

> The first case, that is, multiplication of a vector by a scalar has been dealt with in the section; multiplication of vectors by real numbers. Hence, we move on to the second case, that is, multiplication of two vectors in such a way as to yield a scalar. Such an ope..

Let a particle be at the points A, B, C at three successive times t, t ' and t '' respectively. is the displacement vector from time t to t ' . is the displacement vector from time t ' to t '' . The total displacement vector is the sum or the..

This law is used to add more than two vectors. The above figure illustrates four vectors Each of these vectors is displaced parallel to itself so that all four of them touch each other as shown in the figure (b). Obviously vector will be the r..

The curved line in the figure represents the trajectory of a particle. Let the particle be at P at time t. The position of p with reference to origin O is given by . Let the particle be at Q at time (t + D t). The position of Q with reference to P is given by . Applying the law of triangle of ..