Yes , a vector can have a component equal to zero and still have a nonzero magnitude.
Why can a vector have a component equal to zero and still have a non zero 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. No, because it will be a zero vector.
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 vectors equal its components?
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.
Can two nonzero vectors add to give zero?
Can 2 non-zero perpendicular vectors be added together so that their sum is zero? ANSWER: No. The sum of two perpendicular non-zero vectors can never be zero .
Can a vector have a non-zero magnitude if a component is zero?
a) Yes . It can have a Y-component of zero and a non-zero x-component, which will equal to a nonzero magnitude. Therefore, a vector can have zero component, but still have a nonzero magnitude.
Can a component of a vector be negative?
Vectors are only negative with respect to another vector . ... The magnitude, or length, of a vector, cannot be negative; it can be either be zero or positive. The negative sign is used here to indicate that the vector has the opposite direction of the reference vector.
What is the component of a vector?
A vector quantity has two characteristics, a magnitude and a direction .
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.
When two non zero vectors are added the resultant?
6 The resultant of two non-zero vectors, one is double the other in magnitude , is perpendicular to the smaller of the two vectors.
In which condition the multiple of two non zero vectors will be zero?
case 1 :- Let A and B two non zero vectors and R is resultant when they multiply each other. hence, resultant becomes zero in dot product only when angle between given vectors must be 90° . here it is clear that resultant of cross product will be zero when angle between given vectors must be zero.
Which conditions will the cross product of two vectors be zero?
If the cross product of two vectors is the zero vector (that is, a × b = 0), then either one or both of the inputs is the zero vector, (a = 0 or b = 0) or else they are parallel or antiparallel (a ∥ b) so that the sine of the angle between them is zero (θ = 0° or θ = 180° and sin θ = 0).
What does non zero vector mean?
Not equal to zero . ... A nonzero vector is a vector with magnitude not equal to zero.
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 is negative of a vector?
A negative of a vector represents the direction opposite to the reference direction . It means that the magnitude of two vectors are same but they are opposite in direction. For example, if A and B are two vectors that have equal magnitude but opposite in direction, then vector A is negative of vector B.
What is the angle between a vector and its negative vector?
The angle would be 180° as both the vectors will form a straight line and would not overlap each other.
