Table of Contents
What is the value of a null vector?
The null vector is defined to have zero magnitude and no particular direction.
What is a null or zero vector?
Zero Vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by 0 . If a vector is multiplied by zero, the result is a zero vector. The acceleration vector of a body in uniform motion is a zero vector.
How do you find the zero vector?
To find the zero vector, remember that the null vector of a vector space V is a vector 0V such that for all x∈V we have x+0V=x. And this gives a+1=0 and b=0. So the null vector is really (−1,0). The point is: the null vector is defined by properties, axioms, things it must satisfy.
What is a zero vector give one example for a zero vector?
When the magnitude of a vector is zero, it is known as a zero vector. Zero vector has an arbitrary direction. Examples: (i) Position vector of origin is zero vector. (ii) If a particle is at rest then displacement of the particle is zero vector. (iii) Acceleration of uniform motion is zero vector.
Can the resultant sum of three vectors be zero?
The resultant sum of the three vectors a, ( b + c), and d can be zero only if (b + c) lie in a plane containing a and d, assuming that these three vectors are represented by the three sides of a triangle. If a and d are collinear, then it implies that the vector (b + c) is in the line of a and d.
Can the magnitude of a vector be greater than the sum?
Hence, the magnitude of vector a can never be greater than the sum of the magnitudes of b, c, and d. The resultant sum of the three vectors a, ( b + c), and d can be zero only if (b + c) lie in a plane containing a and d, assuming that these three vectors are represented by the three sides of a triangle.
How do you prove that a and D are collinear?
If a and d are collinear, then it implies that the vector (b + c) is in the line of a and d. This implication holds, only then the vector sum of all the vectors will be zero. Was this answer helpful?