Yes, a vector can have a component equal to zero and still have a nonzero magnitude.
Can a vector have zero components other than zero?
Originally Answered: Can a vector of magnitude zero have non-zero components? AFAIK, no . The magnitude of a vector is defined (or measured) as the square root of the sum of the squares of it's components. So, the magnitude will be 0 if and only if the “sum of the squares of it's components” is 0.
Can a vector have a non zero magnitude?
If a vector has nonzero components, it cannot have a magnitude of a vector because the very fact that it has a nonzero component, already implies a nonzero magnitude. If a vector has a magnitude of nonzero, then the magnitude must come from nonzero components of a vector?
Why can a vector have a component equal to zero and still have nonzero magnitude?
Can a vector have a component equal to zero and still have nonzero magnitude? ... No, because another component of the vector will be zero too . Yes, if it points along the y-axis.
What is null vector and unit vector?
A vector having zero magnitude (arbitrary direction) is called the null (zero) vector. The zero vector is unique. For eg:- A point have no magnitude and an arbitrary direction. Unit vector is a vector of unit length . If u is a unit vector, then it is denoted by u^ and ∣u^∣=1.
What does non zero vector mean?
Not equal to zero . ... A nonzero vector is a vector with magnitude not equal to zero.
Are vectors equal?
Two or more vectors are equal when they have the same length , and they point in the same direction. Any two or more vectors will be equal if they are collinear, codirected, and have the same magnitude. If two vectors are equal, their column vectors will also be equal.
Is height a vector or scalar?
Scalars are physical quantities represented by a single number and no direction. Vectors are physical quantities that require both magnitude and direction. Examples of scalars include height, mass, area, and volume. Examples of vectors include displacement, velocity, and acceleration.
Can a vector have a component greater?
The components of a vector can never have a magnitude greater than the vector itself . This can be seen by using Pythagorean's Thereom. There is a situation where a component of a vector could have a magnitude that equals the magnitude of the vector. e.g. A=2x + 0y.
Is unit vector a position vector?
Position is a vector quantity . It has a magnitude as well as a direction. The magnitude of a vector quantity is a number (with units) telling you how much of the quantity there is and the direction tells you which way it is pointing. A unit vector is a direction indicator.
What is null vector and example?
A null vector is a vector that has magnitude equal to zero and is directionless. It is the resultant of two or more equal vectors that are acting opposite to each other. A most common example of null vector is pulling a rope from both the end with equal forces at opposite direction .
What is the difference between unit vector and position vector?
The Unit vector has only Magnitude . The position vector has Both Magnitude As well as direction & the one end point of one vector has the starting point of the other vector. 【 Note: The Vector should be joined together with each other. 】
Is a set with one vector linearly independent?
A set consisting of a single vector v is linearly dependent if and only if v = 0. Therefore, any set consisting of a single nonzero vector is linearly independent .
How would you define the zero vector?
: a vector which is of zero length and all of whose components are zero .
What is the angle between two non zero vectors?
Angle between two nonzero vectors The angle θ, 0 ≤ θ ≤ π , between the two nonzero vectors' respective standard position vectors. Orthogonal Meeting at right angles; essentially the same meaning as “perpendicular.”
How do you know if two vectors are similar?
Two or more vectors are equal when they have the same length , and they point in the same direction. Any two or more vectors will be equal if they are collinear, codirected, and have the same magnitude.
