![]() Therefore, the given vectors are parallel to each other. It is obvious from the above equations that the vectors S1 and S2 are scalar multiples of each other, and the scaling factor is 5 or 1/5. To determine whether they or parallel, we can check if their respective components can be expressed as scalar multiples of each other or not. The given vectors S1 and S2 are expressed in column form. Then, determine the magnitude of the two vectors. Given two vectors, S1 = (2, 3) and S2 = (10, 15), determine whether the two vectors are parallel or not. Since the given vectors can be related to each other by a scalar factor of 2 or 1/2, we can conclude that the two velocity vectors V1 and V2, are parallel to each other. To determine if the given vectors are parallel or not, we check if they can be expressed as multiples of each other or not. ![]() Determine whether the two velocity vectors are parallel or not. This will help to build a deeper understanding of parallel vectors.Ī car is moving with a velocity vector of V1 = 30 m/s North, and another car is moving North with a velocity vector V2 = 60 m/s. In this section, we will discuss examples related to parallel vectors and their step-by-stop solutions. This number, t, can be positive, negative, or zero. For example, two vectors U and V are parallel if there exists a real number, t, such that: To determine if two vectors are parallel or not, we check if the given vectors can be expressed as scalar multiples of each other. How to Determine if Two Vectors are Parallel The vector b becomes a zero vector in this case, and the zero vector is considered parallel to every vector. Let’s consider the case when the value of c is zero. Thus, it is clear that they must be scalar multiples of each other for any two vectors to be parallel. Similarly, from the above equation, the vector a can be expressed as: If the value of c is negative, that is, c < 0, the vector b will point in the direction opposite to the vector a. If the value of c is positive, c > 0, both vectors will have the same direction. The sign of scalar c will determine the direction of vector b. 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. Let’s suppose two vectors, a and b, are defined as: Usually, two parallel vectors are scalar multiples of each other.
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