Table of Contents
What if a vector is parallel to B vector?
Two vectors A and B are parallel if and only if they are scalar multiples of one another. , k is a constant not equal to zero. We can find the cross product of both the vectors.
What is the resultant of two parallel vectors?
If the parallel vectors are opposite to each other, (i.e. at 180° with eachother), then the magnitude of resultant is the difference of the magnitudes of the two. The direction is same as that vector whose magnitude is the greatest among the two.
What is the magnitude of resultant of cross product of two parallel vector A and B?
3. What is the magnitude of resultant of cross product of two parallel vectors a and b? Explanation: The resultant of cross product of 2 parallel vectors is always 0 as the angle between them is 0 or 180 degrees. So the answer is |a|.
What is the direction of vector A vector B for parallel vectors A and B?
The direction of sum of two vectors A and B when vectors A and B are parallel will be same as that of vectors A and B. Or in other words, vector A, vector B and sum of vectors A and B will all be parallel.
Are vectors A and B parallel?
Two vectors A and B are parallel if and only if they are scalar multiples of one another. A = k B , k is a constant not equal to zero. Two vectors A and B are perpendicular if and only if their scalar product is equal to zero. Vectors A and B are parallel.
What is the cross product of two parallel vectors?
Cross Product of Parallel vectors. The cross product of two vectors are zero vectors if both the vectors are parallel or opposite to each other. Conversely, if two vectors are parallel or opposite to each other, then their product is a zero vector. Two vectors have the same sense of direction.
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.
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.