Table of Contents
What is the product of two parallel vectors?
When two vectors are in the same direction and have the same angle but vary in magnitude, it is known as the parallel vector. Hence the vector product of two parallel vectors is equal to zero.
What is the product of two vectors?
The vector product of two vectors is a vector perpendicular to both of them. Its magnitude is obtained by multiplying their magnitudes by the sine of the angle between them. The direction of the vector product can be determined by the corkscrew right-hand rule.
How can you calculate the resultant of two vectors?
R = A + B. Vectors in the opposite direction are subtracted from each other to obtain the resultant vector. Here the vector B is opposite in direction to the vector A, and R is the resultant vector.
How do you find the parallelity of two vectors?
a = 1/c * b. Thus, it is clear that they must be scalar multiples of each other for any two vectors to be parallel. Let’s consider the case when the value of c is zero. Then we can write: b = 0* a. b = 0. The vector b becomes a zero vector in this case, and the zero vector is considered parallel to every vector.
When are two vectors perpendicular to each other and parallel?
Two vectors are perpendicular if their dot product is zero, and parallel if their dot product is 1. Take the dot product of our two vectors to find the answer:
Are two vectors parallel if the value of C is zero?
If the value of c is negative, that is, c < 0, the vector b will point in the direction opposite to the vector a. Similarly, from the above equation, the vector a can be expressed as: Thus, it is clear that they must be scalar multiples of each other for any two vectors to be parallel. Let’s consider the case when the value of c is zero.
How do you find the scalar multiples of two parallel vectors?
Usually, two parallel vectors are scalar multiples of each other. Let’s suppose two vectors, a and b, are defined as: b = c* a. Where c is some scalar real number. In the above equation, the vector b is expressed as a scalar multiple of vector a, and the two vectors are said to be parallel.