Home › JEE Advanced › Vectors & 3D Geometry › Which statement about a null vector is correct?
Which statement about a null vector is correct?
AIts direction is fixed along the positive x-axis
BIts dot product with any vector is always zero
CAdding it to a vector reverses the vector
DIts cross product with any vector gives a scalar
Answer & Solution
Correct answer: B. Its dot product with any vector is always zero
A null vector has zero magnitude and arbitrary direction. The notes state that its dot product with any vector is zero, and its cross product with any vector is also a null vector. Adding or subtracting it leaves the original vector unchanged.
Related questions
Two nonzero vectors have a scalar product of zero when they are:The vector product of two vectors gives a:The dot product of two vectors returns a:Vectors that may be shifted parallel without change are called:The triangle law and the parallelogram law of addition are:Two vectors on adjacent sides of a parallelogram add along the:The relation AC = AB + BC states the:A vector equal in size but opposite in direction is the: